799536960 has 224 divisors, whose sum is σ = 2918764800. Its totient is φ = 205793280.

The previous prime is 799536923. The next prime is 799536961. The reversal of 799536960 is 69635997.

It is a super-3 number, since 3×799536960³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 799536897 and 799536906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799536961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248965 + ... + 252155.

It is an arithmetic number, because the mean of its divisors is an integer number (13030200).

Almost surely, 2^799536960 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 799536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459382400).

799536960 is an abundant number, since it is smaller than the sum of its proper divisors (2119227840).

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

799536960 is a wasteful number, since it uses less digits than its factorization.

799536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 799536960 is about 28276.0845945828. The cubic root of 799536960 is about 928.1386287153.

The spelling of 799536960 in words is "seven hundred ninety-nine million, five hundred thirty-six thousand, nine hundred sixty".