76683456 has 112 divisors (see below), whose sum is σ = 227584000. Its totient is φ = 25318656.

The previous prime is 76683433. The next prime is 76683457. The reversal of 76683456 is 65438667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76683457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343761 + ... + 343983.

It is an arithmetic number, because the mean of its divisors is an integer number (2032000).

Almost surely, 2^76683456 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 76683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113792000).

76683456 is an abundant number, since it is smaller than the sum of its proper divisors (150900544).

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

76683456 is a wasteful number, since it uses less digits than its factorization.

76683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 76683456 is about 8756.9090437208. The cubic root of 76683456 is about 424.8483075709.

The spelling of 76683456 in words is "seventy-six million, six hundred eighty-three thousand, four hundred fifty-six".