799144320 has 256 divisors, whose sum is σ = 2779116480. Its totient is φ = 194150400.

The previous prime is 799144303. The next prime is 799144331. The reversal of 799144320 is 23441997.

799144320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2520802 + ... + 2521118.

Almost surely, 2^799144320 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 799144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389558240).

799144320 is an abundant number, since it is smaller than the sum of its proper divisors (1979972160).

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

799144320 is a wasteful number, since it uses less digits than its factorization.

799144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 799144320 is about 28269.1407722272. The cubic root of 799144320 is about 927.9866724206.

The spelling of 799144320 in words is "seven hundred ninety-nine million, one hundred forty-four thousand, three hundred twenty".