799532160 has 512 divisors, whose sum is σ = 3196108800. Its totient is φ = 165888000.

The previous prime is 799532147. The next prime is 799532171. The reversal of 799532160 is 61235997.

799532160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×799532160³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7916110 + ... + 7916210.

It is an arithmetic number, because the mean of its divisors is an integer number (6242400).

Almost surely, 2^799532160 is an apocalyptic number.

799532160 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 799532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598054400).

799532160 is an abundant number, since it is smaller than the sum of its proper divisors (2396576640).

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

799532160 is a wasteful number, since it uses less digits than its factorization.

799532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 799532160 is about 28275.9997170745. Note that the first 3 decimals coincide. The cubic root of 799532160 is about 928.1367713593.

The spelling of 799532160 in words is "seven hundred ninety-nine million, five hundred thirty-two thousand, one hundred sixty".