977464800 has 432 divisors, whose sum is σ = 3872720880. Its totient is φ = 236528640.

The previous prime is 977464729. The next prime is 977464811. The reversal of 977464800 is 8464779.

977464800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16567171 + ... + 16567229.

Almost surely, 2^977464800 is an apocalyptic number.

977464800 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 977464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936360440).

977464800 is an abundant number, since it is smaller than the sum of its proper divisors (2895256080).

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

977464800 is a wasteful number, since it uses less digits than its factorization.

977464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 977464800 is about 31264.4334668006. The cubic root of 977464800 is about 992.4311233073.

The spelling of 977464800 in words is "nine hundred seventy-seven million, four hundred sixty-four thousand, eight hundred".