76407672 has 32 divisors (see below), whose sum is σ = 208385280. Its totient is φ = 23153760.

The previous prime is 76407659. The next prime is 76407697. The reversal of 76407672 is 27670467.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76407672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144448 + ... + 144975.

It is an arithmetic number, because the mean of its divisors is an integer number (6512040).

Almost surely, 2^76407672 is an apocalyptic number.

It is an amenable number.

76407672 is an abundant number, since it is smaller than the sum of its proper divisors (131977608).

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

76407672 is a wasteful number, since it uses less digits than its factorization.

76407672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289443 (or 289439 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 76407672 is about 8741.1482083305. The cubic root of 76407672 is about 424.3383883440.

The spelling of 76407672 in words is "seventy-six million, four hundred seven thousand, six hundred seventy-two".