76 (number)
title: "76 (number)" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["integers"] topic_path: "general/integers" source: "https://en.wikipedia.org/wiki/76_(number)" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0
::data[format=table title="Infobox number"]
| Field | Value |
|---|---|
| number | 76 |
| divisor | 1, 2, 4, 19, 38, 76 |
| :: |
| number = 76 | divisor = 1, 2, 4, 19, 38, 76 76 (seventy-six) is the natural number following 75 and preceding 77.
In mathematics
76 is:
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a composite number; a square-prime, of the form (p2, q) where q is a higher prime. It is the ninth of this general form and the seventh of the form (22.q).
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a Lucas number.
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a telephone or involution number, the number of different ways of connecting 6 points with pairwise connections.
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a nontotient.
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a 14-gonal number.
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an Erdős–Woods number since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member.
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with an aliquot sum of 64; within an aliquot sequence of three composite numbers (76,64,63,41,1,0) to the Prime in the 41-aliquot tree.
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an automorphic number in base 10. It is one of two 2-digit numbers whose square, 5,776, and higher powers, end in the same two digits. The other is .
There are 76 unique compact uniform hyperbolic honeycombs in the third dimension that are generated from Wythoff constructions. ::figure[src="https://upload.wikimedia.org/wikipedia/commons/f/f1/Bennington_Flag.svg" caption="The Bennington Flag features the number 76."] ::
References
References
- "Sloane's A000032 : Lucas numbers". OEIS Foundation.
- "Sloane's A000085 : Involution numbers". OEIS Foundation.
- "Sloane's A005277 : Nontotients". OEIS Foundation.
- "Sloane's A051866 : 14-gonal numbers". OEIS Foundation.
- "Sloane's A005891 : Centered pentagonal numbers". OEIS Foundation.
- "Sloane's A059756 : Erdős-Woods numbers". OEIS Foundation.
- "Sloane's A003226 : Automorphic numbers". OEIS Foundation.
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