977906160 has 480 divisors, whose sum is σ = 4234014720. Its totient is φ = 196300800.

The previous prime is 977906143. The next prime is 977906173. The reversal of 977906160 is 61609779.

977906160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718356 + ... + 1718924.

It is an arithmetic number, because the mean of its divisors is an integer number (8820864).

Almost surely, 2^977906160 is an apocalyptic number.

977906160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977906160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117007360).

977906160 is an abundant number, since it is smaller than the sum of its proper divisors (3256108560).

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

977906160 is a wasteful number, since it uses less digits than its factorization.

977906160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 977906160 is about 31271.4911700737. The cubic root of 977906160 is about 992.5804734390.

The spelling of 977906160 in words is "nine hundred seventy-seven million, nine hundred six thousand, one hundred sixty".