76736544 has 48 divisors (see below), whose sum is σ = 202067712. Its totient is φ = 25498368.

The previous prime is 76736531. The next prime is 76736551. The reversal of 76736544 is 44563767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 76736496 and 76736505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34737 + ... + 36879.

It is an arithmetic number, because the mean of its divisors is an integer number (4209744).

Almost surely, 2^76736544 is an apocalyptic number.

It is an amenable number.

76736544 is an abundant number, since it is smaller than the sum of its proper divisors (125331168).

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

76736544 is a wasteful number, since it uses less digits than its factorization.

76736544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2521 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 76736544 is about 8759.9397258200. The cubic root of 76736544 is about 424.9463258630.

The spelling of 76736544 in words is "seventy-six million, seven hundred thirty-six thousand, five hundred forty-four".