76490880 has 64 divisors (see below), whose sum is σ = 243820800. Its totient is φ = 20397056.

The previous prime is 76490861. The next prime is 76490923. The reversal of 76490880 is 8809467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18000 + ... + 21839.

It is an arithmetic number, because the mean of its divisors is an integer number (3809700).

Almost surely, 2^76490880 is an apocalyptic number.

It is an amenable number.

76490880 is an abundant number, since it is smaller than the sum of its proper divisors (167329920).

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

76490880 is a wasteful number, since it uses less digits than its factorization.

76490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39861 (or 39849 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 76490880 is about 8745.9064710297. The cubic root of 76490880 is about 424.4923673817.

The spelling of 76490880 in words is "seventy-six million, four hundred ninety thousand, eight hundred eighty".