76580320 has 24 divisors (see below), whose sum is σ = 180921384. Its totient is φ = 30632064.

The previous prime is 76580311. The next prime is 76580327. The reversal of 76580320 is 2308567.

It is a super-2 number, since 2×76580320² = 11729090822604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76580327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239154 + ... + 239473.

It is an arithmetic number, because the mean of its divisors is an integer number (7538391).

Almost surely, 2^76580320 is an apocalyptic number.

It is an amenable number.

76580320 is an abundant number, since it is smaller than the sum of its proper divisors (104341064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76580320 is a wasteful number, since it uses less digits than its factorization.

76580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478642 (or 478634 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 76580320 is about 8751.0182264694. The cubic root of 76580320 is about 424.6577544577.

Adding to 76580320 its reverse (2308567), we get a palindrome (78888887).

The spelling of 76580320 in words is "seventy-six million, five hundred eighty thousand, three hundred twenty".