795200 has 84 divisors (see below), whose sum is σ = 2267712. Its totient is φ = 268800.

The previous prime is 795187. The next prime is 795203. The reversal of 795200 is 2597.

It is not an unprimeable number, because it can be changed into a prime (795203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11165 + ... + 11235.

2⁷⁹⁵²⁰⁰ is an apocalyptic number.

795200 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 795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133856).

795200 is an abundant number, since it is smaller than the sum of its proper divisors (1472512).

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

795200 is a wasteful number, since it uses less digits than its factorization.

795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 795200 is about 891.7398723843. The cubic root of 795200 is about 92.6457405491.

Adding to 795200 its reverse (2597), we get a palindrome (797797).

The spelling of 795200 in words is "seven hundred ninety-five thousand, two hundred".