76007313 has 12 divisors (see below), whose sum is σ = 110082960. Its totient is φ = 50535576.

The previous prime is 76007297. The next prime is 76007363. The reversal of 76007313 is 31370067.

It is not a de Polignac number, because 76007313 - 2⁴ = 76007297 is a prime.

It is a super-2 number, since 2×76007313² = 11554223258959938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76007363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7731 + ... + 14552.

It is an arithmetic number, because the mean of its divisors is an integer number (9173580).

Almost surely, 2^76007313 is an apocalyptic number.

It is an amenable number.

76007313 is a deficient number, since it is larger than the sum of its proper divisors (34075647).

76007313 is a wasteful number, since it uses less digits than its factorization.

76007313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22668 (or 22665 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 76007313 is about 8718.2173063075. The cubic root of 76007313 is about 423.5959442081.

The spelling of 76007313 in words is "seventy-six million, seven thousand, three hundred thirteen".