799511328 has 288 divisors, whose sum is σ = 2928586752. Its totient is φ = 200793600.

The previous prime is 799511299. The next prime is 799511371. The reversal of 799511328 is 823115997.

799511328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686875 + ... + 688037.

It is an arithmetic number, because the mean of its divisors is an integer number (10168704).

Almost surely, 2^799511328 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 799511328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464293376).

799511328 is an abundant number, since it is smaller than the sum of its proper divisors (2129075424).

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

799511328 is a wasteful number, since it uses less digits than its factorization.

799511328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1217 counting only the distinct ones).

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

The square root of 799511328 is about 28275.6313457366. The cubic root of 799511328 is about 928.1287103481.

The spelling of 799511328 in words is "seven hundred ninety-nine million, five hundred eleven thousand, three hundred twenty-eight".