76513464 has 128 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 23569920.

The previous prime is 76513439. The next prime is 76513471. The reversal of 76513464 is 46431567.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245869 + ... + 246179.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^76513464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76513464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

76513464 is an abundant number, since it is smaller than the sum of its proper divisors (152619336).

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

76513464 is a wasteful number, since it uses less digits than its factorization.

76513464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 76513464 is about 8747.1974940549. The cubic root of 76513464 is about 424.5341405198.

The spelling of 76513464 in words is "seventy-six million, five hundred thirteen thousand, four hundred sixty-four".