977040400 has 180 divisors, whose sum is σ = 2769525120. Its totient is φ = 330220800.

The previous prime is 977040377. The next prime is 977040403. The reversal of 977040400 is 4040779.

It is not an unprimeable number, because it can be changed into a prime (977040403) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1548085 + ... + 1548715.

Almost surely, 2^977040400 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 977040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384762560).

977040400 is an abundant number, since it is smaller than the sum of its proper divisors (1792484720).

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

977040400 is a wasteful number, since it uses less digits than its factorization.

977040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 977040400 is about 31257.6454647499. The cubic root of 977040400 is about 992.2874697997.

The spelling of 977040400 in words is "nine hundred seventy-seven million, forty thousand, four hundred".