791947360 has 72 divisors (see below), whose sum is σ = 1974774816. Its totient is φ = 300084480.

The previous prime is 791947333. The next prime is 791947361. The reversal of 791947360 is 63749197.

It is a self number, because there is not a number n which added to its sum of digits gives 791947360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791947361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50905 + ... + 64615.

It is an arithmetic number, because the mean of its divisors is an integer number (27427428).

Almost surely, 2^791947360 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 791947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987387408).

791947360 is an abundant number, since it is smaller than the sum of its proper divisors (1182827456).

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

791947360 is a wasteful number, since it uses less digits than its factorization.

791947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13764 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 791947360 is about 28141.5593029242. The cubic root of 791947360 is about 925.1925033974.

The spelling of 791947360 in words is "seven hundred ninety-one million, nine hundred forty-seven thousand, three hundred sixty".