977990400 has 162 divisors, whose sum is σ = 3496742340. Its totient is φ = 260782080.

The previous prime is 977990371. The next prime is 977990437. The reversal of 977990400 is 4099779.

977990400 is a `hidden beast` number, since 97 + 79 + 90 + 400 = 666.

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

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 17 ways as a sum of consecutive naturals, for example, 49111 + ... + 66089.

Almost surely, 2^977990400 is an apocalyptic number.

977990400 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 977990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748371170).

977990400 is an abundant number, since it is smaller than the sum of its proper divisors (2518751940).

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

977990400 is a wasteful number, since it uses less digits than its factorization.

977990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011 (or 16989 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 977990400 is about 31272.8380547721. The cubic root of 977990400 is about 992.6089739850.

The spelling of 977990400 in words is "nine hundred seventy-seven million, nine hundred ninety thousand, four hundred".