791861664 has 96 divisors (see below), whose sum is σ = 2366267904. Its totient is φ = 229518080.

The previous prime is 791861663. The next prime is 791861671. The reversal of 791861664 is 466168197.

It is a happy number.

791861664 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (791861663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7987 + ... + 40589.

It is an arithmetic number, because the mean of its divisors is an integer number (24648624).

Almost surely, 2^791861664 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 791861664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183133952).

791861664 is an abundant number, since it is smaller than the sum of its proper divisors (1574406240).

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

791861664 is a wasteful number, since it uses less digits than its factorization.

791861664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32650 (or 32642 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 791861664 is about 28140.0366737501. The cubic root of 791861664 is about 925.1591307429.

The spelling of 791861664 in words is "seven hundred ninety-one million, eight hundred sixty-one thousand, six hundred sixty-four".