977880960 has 384 divisors, whose sum is σ = 3920716800. Its totient is φ = 219967488.

The previous prime is 977880907. The next prime is 977880971. The reversal of 977880960 is 69088779.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 977880897 and 977880906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3185127 + ... + 3185433.

It is an arithmetic number, because the mean of its divisors is an integer number (10210200).

Almost surely, 2^977880960 is an apocalyptic number.

977880960 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 977880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960358400).

977880960 is an abundant number, since it is smaller than the sum of its proper divisors (2942835840).

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

977880960 is a wasteful number, since it uses less digits than its factorization.

977880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 977880960 is about 31271.0882445751. The cubic root of 977880960 is about 992.5719473167.

The spelling of 977880960 in words is "nine hundred seventy-seven million, eight hundred eighty thousand, nine hundred sixty".