76564005 has 64 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 32338944.

The previous prime is 76564001. The next prime is 76564051. The reversal of 76564005 is 50046567.

76564005 = 1462² + 1463² + ... + 1496².

It is not a de Polignac number, because 76564005 - 2² = 76564001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76564001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104952 + ... + 105678.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^76564005 is an apocalyptic number.

It is an amenable number.

76564005 is a deficient number, since it is larger than the sum of its proper divisors (74394075).

76564005 is a wasteful number, since it uses less digits than its factorization.

76564005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 76564005 is about 8750.0859995774. The cubic root of 76564005 is about 424.6275953458.

The spelling of 76564005 in words is "seventy-six million, five hundred sixty-four thousand, five".