976041600 has 192 divisors, whose sum is σ = 3235105440. Its totient is φ = 258641920.

The previous prime is 976041581. The next prime is 976041601. The reversal of 976041600 is 6140679.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (976041601) 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 23 ways as a sum of consecutive naturals, for example, 2812627 + ... + 2812973.

Almost surely, 2^976041600 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 976041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617552720).

976041600 is an abundant number, since it is smaller than the sum of its proper divisors (2259063840).

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

976041600 is a wasteful number, since it uses less digits than its factorization.

976041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 976041600 is about 31241.6644883079. The cubic root of 976041600 is about 991.9492256357.

It can be divided in two parts, 9760 and 41600, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 976041600 in words is "nine hundred seventy-six million, forty-one thousand, six hundred".