977573520 has 540 divisors, whose sum is σ = 4216097340. Its totient is φ = 202245120.

The previous prime is 977573497. The next prime is 977573533. The reversal of 977573520 is 25375779.

It is a happy number.

977573520 is a `hidden beast` number, since 9 + 77 + 57 + 3 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 308213136 = 25872^2 + 17556^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268766 + ... + 4268994.

Almost surely, 2^977573520 is an apocalyptic number.

977573520 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 977573520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108048670).

977573520 is an abundant number, since it is smaller than the sum of its proper divisors (3238523820).

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

977573520 is a wasteful number, since it uses less digits than its factorization.

977573520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The square root of 977573520 is about 31266.1721353926. The cubic root of 977573520 is about 992.4679168272.

The spelling of 977573520 in words is "nine hundred seventy-seven million, five hundred seventy-three thousand, five hundred twenty".