977935680 has 280 divisors, whose sum is σ = 3601410120. Its totient is φ = 251596800.

The previous prime is 977935657. The next prime is 977935691. The reversal of 977935680 is 86539779.

977935680 is a `hidden beast` number, since 9 + 7 + 79 + 3 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 976437504 = 1224^2 + 31248^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751030 + ... + 752330.

It is an arithmetic number, because the mean of its divisors is an integer number (12862179).

Almost surely, 2^977935680 is an apocalyptic number.

977935680 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 977935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800705060).

977935680 is an abundant number, since it is smaller than the sum of its proper divisors (2623474440).

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

977935680 is a wasteful number, since it uses less digits than its factorization.

977935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 977935680 is about 31271.9631619123. The cubic root of 977935680 is about 992.5904609961.

The spelling of 977935680 in words is "nine hundred seventy-seven million, nine hundred thirty-five thousand, six hundred eighty".