977951520 has 576 divisors, whose sum is σ = 4358914560. Its totient is φ = 193757184.

The previous prime is 977951479. The next prime is 977951521. The reversal of 977951520 is 25159779.

977951520 is a `hidden beast` number, since 9 + 7 + 79 + 51 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (977951521) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2227461 + ... + 2227899.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2^977951520 is an apocalyptic number.

977951520 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 977951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179457280).

977951520 is an abundant number, since it is smaller than the sum of its proper divisors (3380963040).

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

977951520 is a wasteful number, since it uses less digits than its factorization.

977951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 977951520 is about 31272.2164228889. The cubic root of 977951520 is about 992.5958200902.

The spelling of 977951520 in words is "nine hundred seventy-seven million, nine hundred fifty-one thousand, five hundred twenty".