977958240 has 384 divisors, whose sum is σ = 3739115520. Its totient is φ = 210124800.

The previous prime is 977958239. The next prime is 977958259. The reversal of 977958240 is 42859779.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4270446 + ... + 4270674.

It is an arithmetic number, because the mean of its divisors is an integer number (9737280).

Almost surely, 2^977958240 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 977958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869557760).

977958240 is an abundant number, since it is smaller than the sum of its proper divisors (2761157280).

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

977958240 is a wasteful number, since it uses less digits than its factorization.

977958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 977958240 is about 31272.3238663199. The cubic root of 977958240 is about 992.5980936278.

The spelling of 977958240 in words is "nine hundred seventy-seven million, nine hundred fifty-eight thousand, two hundred forty".