76380456 has 128 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 22182912.

The previous prime is 76380443. The next prime is 76380463. The reversal of 76380456 is 65408367.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457285 + ... + 457451.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^76380456 is an apocalyptic number.

76380456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76380456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

76380456 is an abundant number, since it is smaller than the sum of its proper divisors (141347544).

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

76380456 is a wasteful number, since it uses less digits than its factorization.

76380456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 76380456 is about 8739.5912947918. The cubic root of 76380456 is about 424.2880000136.

The spelling of 76380456 in words is "seventy-six million, three hundred eighty thousand, four hundred fifty-six".