791200 has 72 divisors (see below), whose sum is σ = 2062368. Its totient is φ = 295680.

The previous prime is 791191. The next prime is 791201. The reversal of 791200 is 2197.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (791201) by changing a digit.

791200 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 11 ways as a sum of consecutive naturals, for example, 18379 + ... + 18421.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁷⁹¹²⁰⁰ 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 791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184).

791200 is an abundant number, since it is smaller than the sum of its proper divisors (1271168).

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

791200 is a wasteful number, since it uses less digits than its factorization.

791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 791200 is about 889.4942383175. The cubic root of 791200 is about 92.4901377360.

Adding to 791200 its reverse (2197), we get a palindrome (793397).

The spelling of 791200 in words is "seven hundred ninety-one thousand, two hundred".