799672320 has 144 divisors (see below), whose sum is σ = 2771839980. Its totient is φ = 213221376.

The previous prime is 799672309. The next prime is 799672397. The reversal of 799672320 is 23276997.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 769729536 + 29942784 = 27744^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×799672320³ (a number of 28 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 87822 + ... + 96498.

Almost surely, 2^799672320 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 799672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385919990).

799672320 is an abundant number, since it is smaller than the sum of its proper divisors (1972167660).

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

799672320 is a wasteful number, since it uses less digits than its factorization.

799672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8710 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 799672320 is about 28278.4780354247. The cubic root of 799672320 is about 928.1910030944.

The spelling of 799672320 in words is "seven hundred ninety-nine million, six hundred seventy-two thousand, three hundred twenty".