760611264 has 112 divisors (see below), whose sum is σ = 2307019008. Its totient is φ = 216649728.

The previous prime is 760611251. The next prime is 760611337. The reversal of 760611264 is 462116067.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 581299 + ... + 582605.

It is an arithmetic number, because the mean of its divisors is an integer number (20598384).

Almost surely, 2^760611264 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 760611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153509504).

760611264 is an abundant number, since it is smaller than the sum of its proper divisors (1546407744).

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

760611264 is a wasteful number, since it uses less digits than its factorization.

760611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 760611264 is about 27579.1817137492. The cubic root of 760611264 is about 912.8251227517.

The spelling of 760611264 in words is "seven hundred sixty million, six hundred eleven thousand, two hundred sixty-four".