76135920 has 80 divisors (see below), whose sum is σ = 269744640. Its totient is φ = 17402112.

The previous prime is 76135909. The next prime is 76135937. The reversal of 76135920 is 2953167.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20980 + ... + 24339.

It is an arithmetic number, because the mean of its divisors is an integer number (3371808).

Almost surely, 2^76135920 is an apocalyptic number.

76135920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76135920 is an abundant number, since it is smaller than the sum of its proper divisors (193608720).

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

76135920 is a wasteful number, since it uses less digits than its factorization.

76135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45342 (or 45336 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 76135920 is about 8725.5899514016. The cubic root of 76135920 is about 423.8347225766.

The spelling of 76135920 in words is "seventy-six million, one hundred thirty-five thousand, nine hundred twenty".