976333680 has 240 divisors, whose sum is σ = 3765425664. Its totient is φ = 222082560.

The previous prime is 976333667. The next prime is 976333727. The reversal of 976333680 is 86333679.

It is a happy number.

976333680 is a `hidden beast` number, since 9 + 7 + 633 + 3 + 6 + 8 + 0 = 666.

976333680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546965 + ... + 1547595.

Almost surely, 2^976333680 is an apocalyptic number.

976333680 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 976333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882712832).

976333680 is an abundant number, since it is smaller than the sum of its proper divisors (2789091984).

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

976333680 is a wasteful number, since it uses less digits than its factorization.

976333680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 976333680 is about 31246.3386655141. The cubic root of 976333680 is about 992.0481625506.

The spelling of 976333680 in words is "nine hundred seventy-six million, three hundred thirty-three thousand, six hundred eighty".