77056654788864 has 243 divisors, whose sum is σ = 227513807585337. Its totient is φ = 25082314242048.

The previous prime is 77056654788859. The next prime is 77056654788901. The reversal of 77056654788864 is 46888745665077.

The square root of 77056654788864 is 8778192.

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

77056654788864 is a `hidden beast` number, since 7 + 7 + 0 + 5 + 6 + 6 + 5 + 478 + 88 + 64 = 666.

77056654788864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7937517369600 + 69119137419264 = 2817360^2 + 8313792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18118186162 + ... + 18118190414.

Almost surely, 2^{77056654788864} is an apocalyptic number.

77056654788864 is the 8778192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77056654788864

77056654788864 is an abundant number, since it is smaller than the sum of its proper divisors (150457152796473).

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

77056654788864 is an frugal number, since it uses more digits than its factorization.

77056654788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 15173222400, while the sum is 81.

The spelling of 77056654788864 in words is "seventy-seven trillion, fifty-six billion, six hundred fifty-four million, seven hundred eighty-eight thousand, eight hundred sixty-four".