791993664 has 252 divisors, whose sum is σ = 2881932768. Its totient is φ = 205632000.

The previous prime is 791993633. The next prime is 791993669. The reversal of 791993664 is 466399197.

791993664 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 (252).

It is a super-2 number, since 2×791993664² = 1254507927632289792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 791993664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791993669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309189 + ... + 311739.

Almost surely, 2^791993664 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 791993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440966384).

791993664 is an abundant number, since it is smaller than the sum of its proper divisors (2089939104).

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

791993664 is a wasteful number, since it uses less digits than its factorization.

791993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2574 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 791993664 is about 28142.3819887372. The cubic root of 791993664 is about 925.2105345953.

The spelling of 791993664 in words is "seven hundred ninety-one million, nine hundred ninety-three thousand, six hundred sixty-four".