800 (number)
natural number
800 (eight hundred) is the natural number following 799 and preceding 801.
In mathematics
It is the sum of four consecutive primes (193 + 197 + 199 + 211). It is a Harshad number, an Achilles number and the area of a square with diagonal 40.
Integers from 801 to 899
800s
801
801 is a Harshad number. 801 is the sum of a square and positive cube in more than one way, and a sum of distinct positive cubes in more than one way:
801
=
17
2
+
8
3
=
26
2
+
5
3
=
1
3
+
2
3
+
4
3
+
6
3
+
8
3
=
2
3
+
4
3
+
9
3
.
{\displaystyle 801=17^{2}+8^{3}=26^{2}+5^{3}=1^{3}+2^{3}+4^{3}+6^{3}+8^{3}=2^{3}+4^{3}+9^{3}.}
In the gematria of 2nd century bishop Irenaeus, 801 stands for both the Greek word for a dove, and for Alpha and Omega, and therefore represents God in two ways.
There are 801 club patterns in a 50x50 grid of coins.
802
802 = 2 × 401. It is a nontotient, a happy number, the sum of eight consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), and the sum of 4 consecutive triangular numbers (171 + 190 + 210 + 231).
803
803 = 11 × 73.
“800 (number)” enters the record as natural number. Crown Archives preserves that source wording while asking what number and natural can confirm, complicate or overturn.
Why this record matters
“800 (number)” is worth following because a concise public description often conceals a longer documentary argument. Here, number and natural provides the most credible route into that argument.
The citation trail is more important than the brevity of the summary: it shows where individual claims can be examined in context. The source revision retrieved here is dated Sep 10, 2026. The linked authority identifier is Q746396. None of the 0 selected statements returned an explicit reference.
Overview language is designed for orientation and should not be treated as a substitute for the evidence cited beneath it. The lead is largely declarative, so disagreement and counter-evidence require a deliberate search beyond the opening account. Authority statements aid reconciliation but still require their own references, qualifiers and ranks to be checked.
How to read it
Use the entry as an orientation point, then follow its citations and revision history. Names, dates and institutional relationships should be checked against the original record.
- Subject orientation
- Search vocabulary
- Locating named sources
The closest primary source, responsible institution and strongest cited specialist reference.
Three-step research path
- Establish the record: confirm the title “800 (number)”, its source revision and the description used here.
- Expand the search: follow 800 (number) primary sources, 800 (number) archive and number research across catalogues and specialist indexes.
- Test the account: compare the strongest cited source with the responsible institution’s current record and note any disagreement.
Questions for further research
- Which source most directly establishes the central claim about “800 (number)”?
- Which cited source is closest to the event, object or claim?
- Which institution is responsible for the underlying evidence?
Search terms from this dossier
This entry incorporates text from “800 (number)” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.