977328864 has 144 divisors (see below), whose sum is σ = 2856999600. Its totient is φ = 316796928.

The previous prime is 977328853. The next prime is 977328883. The reversal of 977328864 is 468823779.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 977328864.

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 23 ways as a sum of consecutive naturals, for example, 1919842 + ... + 1920350.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^977328864 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 977328864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428499800).

977328864 is an abundant number, since it is smaller than the sum of its proper divisors (1879670736).

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

977328864 is a wasteful number, since it uses less digits than its factorization.

977328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 686 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 977328864 is about 31262.2594193062. The cubic root of 977328864 is about 992.3851153857.

The spelling of 977328864 in words is "nine hundred seventy-seven million, three hundred twenty-eight thousand, eight hundred sixty-four".