77564928 has 88 divisors (see below), whose sum is σ = 236338432. Its totient is φ = 22155264.

The previous prime is 77564891. The next prime is 77564939. The reversal of 77564928 is 82946577.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19701 + ... + 23307.

It is an arithmetic number, because the mean of its divisors is an integer number (2685664).

Almost surely, 2^77564928 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 77564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118169216).

77564928 is an abundant number, since it is smaller than the sum of its proper divisors (158773504).

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

77564928 is a wasteful number, since it uses less digits than its factorization.

77564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3619 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 77564928 is about 8807.0953213872. The cubic root of 77564928 is about 426.4699787878.

It can be divided in two parts, 775 and 64928, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 77564928 in words is "seventy-seven million, five hundred sixty-four thousand, nine hundred twenty-eight".