76406409 has 10 divisors (see below), whose sum is σ = 114138090. Its totient is φ = 50937552.

The previous prime is 76406389. The next prime is 76406417. The reversal of 76406409 is 90460467.

76406409 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 640 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68112009 + 8294400 = 8253^2 + 2880^2 .

It is not a de Polignac number, because 76406409 - 2²⁰ = 75357833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76406459) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 471564 + ... + 471725.

It is an arithmetic number, because the mean of its divisors is an integer number (11413809).

Almost surely, 2^76406409 is an apocalyptic number.

It is an amenable number.

76406409 is a deficient number, since it is larger than the sum of its proper divisors (37731681).

76406409 is an equidigital number, since it uses as much as digits as its factorization.

76406409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943301 (or 943292 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76406409 is about 8741.0759635185. The cubic root of 76406409 is about 424.3360502614.

Subtracting from 76406409 its product of nonzero digits (36288), we obtain a square (76370121 = 8739²).

The spelling of 76406409 in words is "seventy-six million, four hundred six thousand, four hundred nine".