76083040 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 27379200.

The previous prime is 76083031. The next prime is 76083061. The reversal of 76083040 is 4038067.

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, 244485 + ... + 244795.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^76083040 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 76083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

76083040 is an abundant number, since it is smaller than the sum of its proper divisors (122049440).

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

76083040 is a wasteful number, since it uses less digits than its factorization.

76083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 76083040 is about 8722.5592574657. The cubic root of 76083040 is about 423.7365754254.

It can be divided in two parts, 7608 and 3040, that added together give a cube (10648 = 22³).

The spelling of 76083040 in words is "seventy-six million, eighty-three thousand, forty".