977978400 has 288 divisors, whose sum is σ = 3797756928. Its totient is φ = 213734400.

The previous prime is 977978383. The next prime is 977978401. The reversal of 977978400 is 4879779.

It is not an unprimeable number, because it can be changed into a prime (977978401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385135 + ... + 387665.

It is an arithmetic number, because the mean of its divisors is an integer number (13186656).

Almost surely, 2^977978400 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 977978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898878464).

977978400 is an abundant number, since it is smaller than the sum of its proper divisors (2819778528).

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

977978400 is a wasteful number, since it uses less digits than its factorization.

977978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 977978400 is about 31272.6461943981. The cubic root of 977978400 is about 992.6049141781.

The spelling of 977978400 in words is "nine hundred seventy-seven million, nine hundred seventy-eight thousand, four hundred".