976610880 has 336 divisors, whose sum is σ = 3874276224. Its totient is φ = 221184000.

The previous prime is 976610851. The next prime is 976610927. The reversal of 976610880 is 88016679.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 3890755 + ... + 3891005.

It is an arithmetic number, because the mean of its divisors is an integer number (11530584).

Almost surely, 2^976610880 is an apocalyptic number.

976610880 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 976610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937138112).

976610880 is an abundant number, since it is smaller than the sum of its proper divisors (2897665344).

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

976610880 is a wasteful number, since it uses less digits than its factorization.

976610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 976610880 is about 31250.7740704130. The cubic root of 976610880 is about 992.1420408817.

The spelling of 976610880 in words is "nine hundred seventy-six million, six hundred ten thousand, eight hundred eighty".