977937408 has 352 divisors, whose sum is σ = 3437649920. Its totient is φ = 268738560.

The previous prime is 977937383. The next prime is 977937409. The reversal of 977937408 is 804739779.

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

It is not an unprimeable number, because it can be changed into a prime (977937409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5999535 + ... + 5999697.

Almost surely, 2^977937408 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 977937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718824960).

977937408 is an abundant number, since it is smaller than the sum of its proper divisors (2459712512).

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

977937408 is a wasteful number, since it uses less digits than its factorization.

977937408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 977937408 is about 31271.9907904821. The cubic root of 977937408 is about 992.5910456274.

The spelling of 977937408 in words is "nine hundred seventy-seven million, nine hundred thirty-seven thousand, four hundred eight".