76580013 has 24 divisors (see below), whose sum is σ = 111288576. Its totient is φ = 46785600.

The previous prime is 76580011. The next prime is 76580027. The reversal of 76580013 is 31008567.

It is not a de Polignac number, because 76580013 - 2¹ = 76580011 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76580011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32433 + ... + 34713.

It is an arithmetic number, because the mean of its divisors is an integer number (4637024).

Almost surely, 2^76580013 is an apocalyptic number.

It is an amenable number.

76580013 is a deficient number, since it is larger than the sum of its proper divisors (34708563).

76580013 is a wasteful number, since it uses less digits than its factorization.

76580013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 76580013 is about 8751.0006856359. Note that the first 3 decimals coincide. The cubic root of 76580013 is about 424.6571869921.

The spelling of 76580013 in words is "seventy-six million, five hundred eighty thousand, thirteen".