976412880 has 120 divisors (see below), whose sum is σ = 3400636512. Its totient is φ = 260371584.

The previous prime is 976412863. The next prime is 976412891. The reversal of 976412880 is 88214679.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×976412880² = 1906764224459788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 5674 + ... + 44553.

Almost surely, 2^976412880 is an apocalyptic number.

976412880 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 976412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700318256).

976412880 is an abundant number, since it is smaller than the sum of its proper divisors (2424223632).

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

976412880 is a wasteful number, since it uses less digits than its factorization.

976412880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50255 (or 50237 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 976412880 is about 31247.6059882993. The cubic root of 976412880 is about 992.0749867439.

The spelling of 976412880 in words is "nine hundred seventy-six million, four hundred twelve thousand, eight hundred eighty".