977970960 has 120 divisors (see below), whose sum is σ = 3299622144. Its totient is φ = 259580160.

The previous prime is 977970913. The next prime is 977971003. The reversal of 977970960 is 69079779.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 977970897 and 977970906.

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 23 ways as a sum of consecutive naturals, for example, 157515 + ... + 163605.

Almost surely, 2^977970960 is an apocalyptic number.

977970960 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 977970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649811072).

977970960 is an abundant number, since it is smaller than the sum of its proper divisors (2321651184).

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

977970960 is a wasteful number, since it uses less digits than its factorization.

977970960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The square root of 977970960 is about 31272.5272403751. The cubic root of 977970960 is about 992.6023970812.

The spelling of 977970960 in words is "nine hundred seventy-seven million, nine hundred seventy thousand, nine hundred sixty".