799200 has 144 divisors (see below), whose sum is σ = 2968560. Its totient is φ = 207360.

The previous prime is 799171. The next prime is 799217. The reversal of 799200 is 2997.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

799200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21582 + ... + 21618.

It is an arithmetic number, because the mean of its divisors is an integer number (20615).

2⁷⁹⁹²⁰⁰ 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 799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484280).

799200 is an abundant number, since it is smaller than the sum of its proper divisors (2169360).

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

799200 is a wasteful number, since it uses less digits than its factorization.

799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 799200 is about 893.9798655451. The cubic root of 799200 is about 92.8008224263.

It can be divided in two parts, 799 and 200, that added together give a palindrome (999).

The spelling of 799200 in words is "seven hundred ninety-nine thousand, two hundred".