76408407 has 16 divisors (see below), whose sum is σ = 114094080. Its totient is φ = 50535576.

The previous prime is 76408399. The next prime is 76408411. The reversal of 76408407 is 70480467.

It is a happy number.

76408407 is a `hidden beast` number, since 7 + 640 + 8 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 76408407 - 2³ = 76408399 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76408307) 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, 7713 + ... + 14570.

It is an arithmetic number, because the mean of its divisors is an integer number (7130880).

Almost surely, 2^76408407 is an apocalyptic number.

76408407 is a deficient number, since it is larger than the sum of its proper divisors (37685673).

76408407 is a wasteful number, since it uses less digits than its factorization.

76408407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22419 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76408407 is about 8741.1902507610. The cubic root of 76408407 is about 424.3397489740.

The spelling of 76408407 in words is "seventy-six million, four hundred eight thousand, four hundred seven".