76000456 has 32 divisors (see below), whose sum is σ = 171432000. Its totient is φ = 30856896.

The previous prime is 76000453. The next prime is 76000501. The reversal of 76000456 is 65400067.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (76000451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34651 + ... + 36778.

It is an arithmetic number, because the mean of its divisors is an integer number (5357250).

Almost surely, 2^76000456 is an apocalyptic number.

76000456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

76000456 is an abundant number, since it is smaller than the sum of its proper divisors (95431544).

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

76000456 is a wasteful number, since it uses less digits than its factorization.

76000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71461 (or 71457 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 76000456 is about 8717.8240404358. The cubic root of 76000456 is about 423.5832055885.

The spelling of 76000456 in words is "seventy-six million, four hundred fifty-six", and thus it is an aban number.