977968656 has 360 divisors, whose sum is σ = 3493062144. Its totient is φ = 253532160.

The previous prime is 977968619. The next prime is 977968679. The reversal of 977968656 is 656869779.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 977968593 and 977968602.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3718381 + ... + 3718643.

Almost surely, 2^977968656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977968656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746531072).

977968656 is an abundant number, since it is smaller than the sum of its proper divisors (2515093488).

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

977968656 is a wasteful number, since it uses less digits than its factorization.

977968656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The square root of 977968656 is about 31272.4904029084. The cubic root of 977968656 is about 992.6016175905.

The spelling of 977968656 in words is "nine hundred seventy-seven million, nine hundred sixty-eight thousand, six hundred fifty-six".