791309664 has 144 divisors (see below), whose sum is σ = 2384508672. Its totient is φ = 248396544.

The previous prime is 791309621. The next prime is 791309677. The reversal of 791309664 is 466903197.

791309664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442917 + ... + 444699.

It is an arithmetic number, because the mean of its divisors is an integer number (16559088).

Almost surely, 2^791309664 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 791309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192254336).

791309664 is an abundant number, since it is smaller than the sum of its proper divisors (1593199008).

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

791309664 is a wasteful number, since it uses less digits than its factorization.

791309664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 791309664 is about 28130.2268743073. The cubic root of 791309664 is about 924.9441072631.

The spelling of 791309664 in words is "seven hundred ninety-one million, three hundred nine thousand, six hundred sixty-four".