77556864 has 256 divisors, whose sum is σ = 267125760. Its totient is φ = 19353600.

The previous prime is 77556863. The next prime is 77556877. The reversal of 77556864 is 46865577.

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

It is not an unprimeable number, because it can be changed into a prime (77556863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271394 + ... + 1271454.

It is an arithmetic number, because the mean of its divisors is an integer number (1043460).

Almost surely, 2^77556864 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 77556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562880).

77556864 is an abundant number, since it is smaller than the sum of its proper divisors (189568896).

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

77556864 is a wasteful number, since it uses less digits than its factorization.

77556864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 77556864 is about 8806.6374967975. The cubic root of 77556864 is about 426.4551990276.

The spelling of 77556864 in words is "seventy-seven million, five hundred fifty-six thousand, eight hundred sixty-four".