76 (number)
Jump to navigation
Jump to search
Template:Infobox number 76 (seventy-six) is the natural number following 75 and preceding 77.
In mathematics
76 is:
- 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).
- a Lucas number.<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- a telephone or involution number, the number of different ways of connecting 6 points with pairwise connections.<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- a nontotient.<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- a 14-gonal number.<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- a centered pentagonal number.<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- 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.<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- with an aliquot sum of 64; within an aliquot sequence of two composite numbers (76,64,63,1,0) to the Prime in the 63-aliquot tree.
- an automorphic number in base 10.<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref> It is one of two 2-digit numbers whose square, 5,776, and higher powers, end in the same two digits. The other is Template:Num.
There are 76 unique compact uniform hyperbolic honeycombs in the third dimension that are generated from Wythoff constructions.
