977972160 has 224 divisors, whose sum is σ = 3480279552. Its totient is φ = 230584320.

The previous prime is 977972147. The next prime is 977972179. The reversal of 977972160 is 61279779.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389469 + ... + 391971.

Almost surely, 2^977972160 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 977972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740139776).

977972160 is an abundant number, since it is smaller than the sum of its proper divisors (2502307392).

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

977972160 is a wasteful number, since it uses less digits than its factorization.

977972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The square root of 977972160 is about 31272.5464265384. The cubic root of 977972160 is about 992.6028030654.

The spelling of 977972160 in words is "nine hundred seventy-seven million, nine hundred seventy-two thousand, one hundred sixty".