76083920 has 80 divisors (see below), whose sum is σ = 199272960. Its totient is φ = 26764800.

The previous prime is 76083851. The next prime is 76083949. The reversal of 76083920 is 2938067.

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 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, 25886 + ... + 28674.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2^76083920 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 76083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

76083920 is an abundant number, since it is smaller than the sum of its proper divisors (123189040).

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

76083920 is a wasteful number, since it uses less digits than its factorization.

76083920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 76083920 is about 8722.6097012305. The cubic root of 76083920 is about 423.7382091085.

The spelling of 76083920 in words is "seventy-six million, eighty-three thousand, nine hundred twenty".