976000080 has 320 divisors, whose sum is σ = 3455778816. Its totient is φ = 225792000.

The previous prime is 976000013. The next prime is 976000099. The reversal of 976000080 is 80000679.

It is a happy number.

It is a Cunningham number, because it is equal to 31241²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7684977 + ... + 7685103.

Almost surely, 2^976000080 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 976000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727889408).

976000080 is an abundant number, since it is smaller than the sum of its proper divisors (2479778736).

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

976000080 is a wasteful number, since it uses less digits than its factorization.

976000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 976000080 is about 31240.9999839954. Note that the first 4 decimals coincide. The cubic root of 976000080 is about 991.9351598705.

The spelling of 976000080 in words is "nine hundred seventy-six million, eighty", and thus it is an aban number.