976991400 has 864 divisors, whose sum is σ = 4465562400. Its totient is φ = 188697600.

The previous prime is 976991371. The next prime is 976991437. The reversal of 976991400 is 4199679.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18433774 + ... + 18433826.

It is an arithmetic number, because the mean of its divisors is an integer number (5168475).

Almost surely, 2^976991400 is an apocalyptic number.

976991400 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 976991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232781200).

976991400 is an abundant number, since it is smaller than the sum of its proper divisors (3488571000).

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

976991400 is a wasteful number, since it uses less digits than its factorization.

976991400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 976991400 is about 31256.8616466849. The cubic root of 976991400 is about 992.2708813015.

It can be divided in two parts, 97699 and 1400, that added together give a palindrome (99099).

The spelling of 976991400 in words is "nine hundred seventy-six million, nine hundred ninety-one thousand, four hundred".