760644864 has 288 divisors, whose sum is σ = 2616320000. Its totient is φ = 213497856.

The previous prime is 760644847. The next prime is 760644869. The reversal of 760644864 is 468446067.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760644869) by changing a digit.

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, 3822237 + ... + 3822435.

Almost surely, 2^760644864 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 760644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308160000).

760644864 is an abundant number, since it is smaller than the sum of its proper divisors (1855675136).

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

760644864 is a wasteful number, since it uses less digits than its factorization.

760644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 760644864 is about 27579.7908621512. The cubic root of 760644864 is about 912.8385639027.

The spelling of 760644864 in words is "seven hundred sixty million, six hundred forty-four thousand, eight hundred sixty-four".