976890880 has 176 divisors, whose sum is σ = 2715402816. Its totient is φ = 330301440.

The previous prime is 976890877. The next prime is 976890881. The reversal of 976890880 is 88098679.

It is not an unprimeable number, because it can be changed into a prime (976890881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3476340 + ... + 3476620.

Almost surely, 2^976890880 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 976890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357701408).

976890880 is an abundant number, since it is smaller than the sum of its proper divisors (1738511936).

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

976890880 is a wasteful number, since it uses less digits than its factorization.

976890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The square root of 976890880 is about 31255.2536383885. The cubic root of 976890880 is about 992.2368494461.

The spelling of 976890880 in words is "nine hundred seventy-six million, eight hundred ninety thousand, eight hundred eighty".