761479264 has 96 divisors (see below), whose sum is σ = 1942375680. Its totient is φ = 285368832.

The previous prime is 761479253. The next prime is 761479297. The reversal of 761479264 is 462974167.

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 15 ways as a sum of consecutive naturals, for example, 48447 + ... + 62209.

It is an arithmetic number, because the mean of its divisors is an integer number (20233080).

Almost surely, 2^761479264 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 761479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971187840).

761479264 is an abundant number, since it is smaller than the sum of its proper divisors (1180896416).

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

761479264 is a wasteful number, since it uses less digits than its factorization.

761479264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13812 (or 13804 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 761479264 is about 27594.9137342373. The cubic root of 761479264 is about 913.1722255952.

The spelling of 761479264 in words is "seven hundred sixty-one million, four hundred seventy-nine thousand, two hundred sixty-four".