976222800 has 480 divisors, whose sum is σ = 4090016000. Its totient is φ = 216483840.

The previous prime is 976222783. The next prime is 976222801. The reversal of 976222800 is 8222679.

976222800 is a `hidden beast` number, since 9 + 7 + 622 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976222801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2797026 + ... + 2797374.

Almost surely, 2^976222800 is an apocalyptic number.

976222800 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 976222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045008000).

976222800 is an abundant number, since it is smaller than the sum of its proper divisors (3113793200).

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

976222800 is a wasteful number, since it uses less digits than its factorization.

976222800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 976222800 is about 31244.5643272554. The cubic root of 976222800 is about 992.0106062428.

The spelling of 976222800 in words is "nine hundred seventy-six million, two hundred twenty-two thousand, eight hundred".