76289920 has 64 divisors (see below), whose sum is σ = 208447200. Its totient is φ = 26155008.

The previous prime is 76289903. The next prime is 76289929. The reversal of 76289920 is 2998267.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76289929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4035 + ... + 12994.

Almost surely, 2^76289920 is an apocalyptic number.

76289920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76289920 is an abundant number, since it is smaller than the sum of its proper divisors (132157280).

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

76289920 is a wasteful number, since it uses less digits than its factorization.

76289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17055 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 76289920 is about 8734.4101117362. The cubic root of 76289920 is about 424.1202933869.

The spelling of 76289920 in words is "seventy-six million, two hundred eighty-nine thousand, nine hundred twenty".