80776656 has 120 divisors (see below), whose sum is σ = 246680640. Its totient is φ = 25302528.

The previous prime is 80776643. The next prime is 80776721. The reversal of 80776656 is 65667708.

It is a super-3 number, since 3×80776656³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124525 + ... + 125171.

It is an arithmetic number, because the mean of its divisors is an integer number (2055672).

Almost surely, 2^80776656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80776656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123340320).

80776656 is an abundant number, since it is smaller than the sum of its proper divisors (165903984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80776656 is a wasteful number, since it uses less digits than its factorization.

80776656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 80776656 is about 8987.5834349396. The cubic root of 80776656 is about 432.2768287411.

Subtracting from 80776656 its product of nonzero digits (423360), we obtain a square (80353296 = 8964²).

The spelling of 80776656 in words is "eighty million, seven hundred seventy-six thousand, six hundred fifty-six".