977645760 has 672 divisors, whose sum is σ = 4162056192. Its totient is φ = 189112320.

The previous prime is 977645759. The next prime is 977645803. The reversal of 977645760 is 67546779.

It is a tau number, because it is divible by the number of its divisors (672).

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, 31536945 + ... + 31536975.

It is an arithmetic number, because the mean of its divisors is an integer number (6193536).

Almost surely, 2^977645760 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 977645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081028096).

977645760 is an abundant number, since it is smaller than the sum of its proper divisors (3184410432).

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

977645760 is a wasteful number, since it uses less digits than its factorization.

977645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The square root of 977645760 is about 31267.3273562036. The cubic root of 977645760 is about 992.4923631100.

The spelling of 977645760 in words is "nine hundred seventy-seven million, six hundred forty-five thousand, seven hundred sixty".