76513360 has 80 divisors (see below), whose sum is σ = 221807232. Its totient is φ = 23846400.

The previous prime is 76513357. The next prime is 76513427. The reversal of 76513360 is 6331567.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51 + ... + 12370.

Almost surely, 2^76513360 is an apocalyptic number.

76513360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110903616).

76513360 is an abundant number, since it is smaller than the sum of its proper divisors (145293872).

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

76513360 is a wasteful number, since it uses less digits than its factorization.

76513360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12446 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 76513360 is about 8747.1915492917. The cubic root of 76513360 is about 424.5339481721.

It can be divided in two parts, 7651 and 3360, that added together give a palindrome (11011).

The spelling of 76513360 in words is "seventy-six million, five hundred thirteen thousand, three hundred sixty".