77580864 has 63 divisors (see below), whose sum is σ = 222979107. Its totient is φ = 25789824.

The previous prime is 77580851. The next prime is 77580869. The reversal of 77580864 is 46808577.

The square root of 77580864 is 8808.

It is a perfect power (a square), and thus also a powerful number.

77580864 is a `hidden beast` number, since 7 + 7 + 580 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (77580869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 211209 + ... + 211575.

Almost surely, 2^77580864 is an apocalyptic number.

77580864 is the 8808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77580864

77580864 is an abundant number, since it is smaller than the sum of its proper divisors (145398243).

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

77580864 is an equidigital number, since it uses as much as digits as its factorization.

77580864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The cubic root of 77580864 is about 426.4991833968.

The spelling of 77580864 in words is "seventy-seven million, five hundred eighty thousand, eight hundred sixty-four".