977350560 has 192 divisors, whose sum is σ = 3196392192. Its totient is φ = 250822656.

The previous prime is 977350541. The next prime is 977350607. The reversal of 977350560 is 65053779.

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, 2006637 + ... + 2007123.

It is an arithmetic number, because the mean of its divisors is an integer number (16647876).

Almost surely, 2^977350560 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 977350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598196096).

977350560 is an abundant number, since it is smaller than the sum of its proper divisors (2219041632).

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

977350560 is a wasteful number, since it uses less digits than its factorization.

977350560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 977350560 is about 31262.6064172519. The cubic root of 977350560 is about 992.3924587441.

The spelling of 977350560 in words is "nine hundred seventy-seven million, three hundred fifty thousand, five hundred sixty".