76930800 has 60 divisors (see below), whose sum is σ = 246438840. Its totient is φ = 20514560.

The previous prime is 76930793. The next prime is 76930817. The reversal of 76930800 is 803967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×76930800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30855 + ... + 33254.

It is an arithmetic number, because the mean of its divisors is an integer number (4107314).

Almost surely, 2^76930800 is an apocalyptic number.

It is an amenable number.

76930800 is an abundant number, since it is smaller than the sum of its proper divisors (169508040).

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

76930800 is a wasteful number, since it uses less digits than its factorization.

76930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64130 (or 64119 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 76930800 is about 8771.0204651454. The cubic root of 76930800 is about 425.3046028577.

The spelling of 76930800 in words is "seventy-six million, nine hundred thirty thousand, eight hundred".