77626656 has 72 divisors (see below), whose sum is σ = 230368320. Its totient is φ = 24748416.

The previous prime is 77626603. The next prime is 77626691. The reversal of 77626656 is 65662677.

It is a tau number, because it is divible by the number of its divisors (72).

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, 765 + ... + 12483.

It is an arithmetic number, because the mean of its divisors is an integer number (3199560).

Almost surely, 2^77626656 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 77626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115184160).

77626656 is an abundant number, since it is smaller than the sum of its proper divisors (152741664).

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

77626656 is a wasteful number, since it uses less digits than its factorization.

77626656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11747 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 77626656 is about 8810.5990715728. The cubic root of 77626656 is about 426.5830804143.

The spelling of 77626656 in words is "seventy-seven million, six hundred twenty-six thousand, six hundred fifty-six".