977080320 has 520 divisors, whose sum is σ = 3805866240. Its totient is φ = 238878720.

The previous prime is 977080309. The next prime is 977080327. The reversal of 977080320 is 23080779.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977080327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31518705 + ... + 31518735.

Almost surely, 2^977080320 is an apocalyptic number.

977080320 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 977080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902933120).

977080320 is an abundant number, since it is smaller than the sum of its proper divisors (2828785920).

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

977080320 is a wasteful number, since it uses less digits than its factorization.

977080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 977080320 is about 31258.2840219997. The cubic root of 977080320 is about 992.3009839377.

The spelling of 977080320 in words is "nine hundred seventy-seven million, eighty thousand, three hundred twenty".