77956256 has 72 divisors (see below), whose sum is σ = 180986400. Its totient is φ = 32952192.

The previous prime is 77956243. The next prime is 77956261. The reversal of 77956256 is 65265977.

It is a self number, because there is not a number n which added to its sum of digits gives 77956256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129845 + ... + 130443.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^77956256 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 77956256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493200).

77956256 is an abundant number, since it is smaller than the sum of its proper divisors (103030144).

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

77956256 is a wasteful number, since it uses less digits than its factorization.

77956256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its digits is 793800, while the sum is 47.

The square root of 77956256 is about 8829.2840026811. The cubic root of 77956256 is about 427.1859800792.

The spelling of 77956256 in words is "seventy-seven million, nine hundred fifty-six thousand, two hundred fifty-six".