799149120 has 448 divisors, whose sum is σ = 3335731200. Its totient is φ = 157040640.

The previous prime is 799149119. The next prime is 799149137. The reversal of 799149120 is 21941997.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404196 + ... + 1404764.

Almost surely, 2^799149120 is an apocalyptic number.

799149120 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 799149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667865600).

799149120 is an abundant number, since it is smaller than the sum of its proper divisors (2536582080).

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

799149120 is a wasteful number, since it uses less digits than its factorization.

799149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 799149120 is about 28269.2256703292. The cubic root of 799149120 is about 927.9885303775.

The spelling of 799149120 in words is "seven hundred ninety-nine million, one hundred forty-nine thousand, one hundred twenty".