791515872 has 144 divisors (see below), whose sum is σ = 2588931072. Its totient is φ = 224697600.

The previous prime is 791515847. The next prime is 791515883. The reversal of 791515872 is 278515197.

791515872 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, 335497 + ... + 337847.

It is an arithmetic number, because the mean of its divisors is an integer number (17978688).

Almost surely, 2^791515872 is an apocalyptic number.

791515872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791515872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294465536).

791515872 is an abundant number, since it is smaller than the sum of its proper divisors (1797415200).

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

791515872 is a wasteful number, since it uses less digits than its factorization.

791515872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2530 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 791515872 is about 28133.8918743924. The cubic root of 791515872 is about 925.0244442530.

The spelling of 791515872 in words is "seven hundred ninety-one million, five hundred fifteen thousand, eight hundred seventy-two".