977342400 has 252 divisors, whose sum is σ = 3529032312. Its totient is φ = 256481280.

The previous prime is 977342339. The next prime is 977342411. The reversal of 977342400 is 4243779.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 964294 + ... + 965306.

Almost surely, 2^977342400 is an apocalyptic number.

977342400 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 977342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764516156).

977342400 is an abundant number, since it is smaller than the sum of its proper divisors (2551689912).

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

977342400 is a wasteful number, since it uses less digits than its factorization.

977342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 977342400 is about 31262.4759096269. The cubic root of 977342400 is about 992.3896968742.

The spelling of 977342400 in words is "nine hundred seventy-seven million, three hundred forty-two thousand, four hundred".