76400456 has 32 divisors (see below), whose sum is σ = 157809600. Its totient is φ = 34386240.

The previous prime is 76400419. The next prime is 76400459. The reversal of 76400456 is 65400467.

It is not an unprimeable number, because it can be changed into a prime (76400459) 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, 4850 + ... + 13278.

It is an arithmetic number, because the mean of its divisors is an integer number (4931550).

Almost surely, 2^76400456 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 76400456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78904800).

76400456 is an abundant number, since it is smaller than the sum of its proper divisors (81409144).

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

76400456 is a wasteful number, since it uses less digits than its factorization.

76400456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 76400456 is about 8740.7354381654. The cubic root of 76400456 is about 424.3250296409.

The spelling of 76400456 in words is "seventy-six million, four hundred thousand, four hundred fifty-six".