799580160 has 280 divisors, whose sum is σ = 2878362036. Its totient is φ = 212336640.

The previous prime is 799580149. The next prime is 799580191. The reversal of 799580160 is 61085997.

799580160 is a `hidden beast` number, since 7 + 9 + 9 + 580 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 2985984 = 28224^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317640 + ... + 3317880.

Almost surely, 2^799580160 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 799580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439181018).

799580160 is an abundant number, since it is smaller than the sum of its proper divisors (2078781876).

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

799580160 is an equidigital number, since it uses as much as digits as its factorization.

799580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 799580160 is about 28276.8484806918. The cubic root of 799580160 is about 928.1553445849.

The spelling of 799580160 in words is "seven hundred ninety-nine million, five hundred eighty thousand, one hundred sixty".