791720160 has 384 divisors, whose sum is σ = 3214245888. Its totient is φ = 158976000.

The previous prime is 791720147. The next prime is 791720183. The reversal of 791720160 is 61027197.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145415 + ... + 1146105.

It is an arithmetic number, because the mean of its divisors is an integer number (8370432).

Almost surely, 2^791720160 is an apocalyptic number.

791720160 is a gapful number since it is divisible by the number (70) 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 791720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607122944).

791720160 is an abundant number, since it is smaller than the sum of its proper divisors (2422525728).

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

791720160 is a wasteful number, since it uses less digits than its factorization.

791720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 791720160 is about 28137.5222789783. The cubic root of 791720160 is about 925.1040194685.

The spelling of 791720160 in words is "seven hundred ninety-one million, seven hundred twenty thousand, one hundred sixty".