977838960 has 160 divisors (see below), whose sum is σ = 3558200832. Its totient is φ = 217451520.

The previous prime is 977838959. The next prime is 977838973. The reversal of 977838960 is 69838779.

It is a self number, because there is not a number n which added to its sum of digits gives 977838960.

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 31 ways as a sum of consecutive naturals, for example, 54295 + ... + 70025.

Almost surely, 2^977838960 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 977838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779100416).

977838960 is an abundant number, since it is smaller than the sum of its proper divisors (2580361872).

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

977838960 is a wasteful number, since it uses less digits than its factorization.

977838960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15791 (or 15785 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The square root of 977838960 is about 31270.4166905400. The cubic root of 977838960 is about 992.5577367872.

The spelling of 977838960 in words is "nine hundred seventy-seven million, eight hundred thirty-eight thousand, nine hundred sixty".