76

Number
$76$ (seventy-six) is:


 * $2^2 \times 19$


 * The $11$th trimorphic number after $1, 4, 5, 6, 9, 24, 25, 49, 51, 75$:
 * $76^3 = 438 \, 9 \mathbf {76}$


 * The $9$th nontotient after $14, 26, 34, 38, 50, 62, 68, 74$:
 * $\nexists m \in \Z_{>0}: \phi \left({m}\right) = 76$
 * where $\phi \left({m}\right)$ denotes the Euler $\phi$ function


 * The $9$th Lucas number after $(2), 1, 3, 4, 7, 11, 18, 29, 47$:
 * $76 = 29 + 47$


 * The $5$th automorphic number after $1, 5, 6, 25$:
 * $76^2 = 57 \mathbf {76}$


 * The $2$nd of the $2$nd pair of consecutive integers which both have $6$ divisors:
 * $\tau \left({75}\right) = \tau \left({76}\right) = 6$


 * The $4$th of the $2$nd ordered quadruple of consecutive integers that have sigma values which are strictly increasing:
 * $\sigma \left({73}\right) = 74$, $\sigma \left({74}\right) = 114$, $\sigma \left({75}\right) = 124$, $\sigma \left({76}\right) = 140$


 * The $2$nd element of the $1$st pair of consecutive even nontotients.


 * The $33$rd integer $n$ such that $2^n$ contains no zero in its decimal representation:
 * $2^{76} = 75 \, 557 \, 863 \, 725 \, 914 \, 323 \, 419 \, 136$

Also see

 * Smallest Consecutive Even Nontotients