76976000 has 128 divisors (see below), whose sum is σ = 203355360. Its totient is φ = 28876800.

The previous prime is 76975979. The next prime is 76976023. The reversal of 76976000 is 67967.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 271859 + ... + 272141.

Almost surely, 2^76976000 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 76976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101677680).

76976000 is an abundant number, since it is smaller than the sum of its proper divisors (126379360).

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

76976000 is a wasteful number, since it uses less digits than its factorization.

76976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 76976000 is about 8773.5967538975. The cubic root of 76976000 is about 425.3878811822.

The spelling of 76976000 in words is "seventy-six million, nine hundred seventy-six thousand".