977955264 has 336 divisors, whose sum is σ = 3408297984. Its totient is φ = 264038400.

The previous prime is 977955227. The next prime is 977955287. The reversal of 977955264 is 462559779.

It is a self number, because there is not a number n which added to its sum of digits gives 977955264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553217 + ... + 2553599.

It is an arithmetic number, because the mean of its divisors is an integer number (10143744).

Almost surely, 2^977955264 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 977955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704148992).

977955264 is an abundant number, since it is smaller than the sum of its proper divisors (2430342720).

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

977955264 is a wasteful number, since it uses less digits than its factorization.

977955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 977955264 is about 31272.2762842745. The cubic root of 977955264 is about 992.5970867767.

The spelling of 977955264 in words is "nine hundred seventy-seven million, nine hundred fifty-five thousand, two hundred sixty-four".