6791200 has 72 divisors (see below), whose sum is σ = 17881668. Its totient is φ = 2503680.

The previous prime is 6791149. The next prime is 6791207. The reversal of 6791200 is 21976.

It can be written as a sum of positive squares in 6 ways, for example, as 620944 + 6170256 = 788^2 + 2484^2 .

It is a super-2 number, since 2×6791200² = 92240794880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6791207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10074 + ... + 10726.

Almost surely, 2^6791200 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 6791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940834).

6791200 is an abundant number, since it is smaller than the sum of its proper divisors (11090468).

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

6791200 is a wasteful number, since it uses less digits than its factorization.

6791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 6791200 is about 2605.9930928535. The cubic root of 6791200 is about 189.3718870550.

The spelling of 6791200 in words is "six million, seven hundred ninety-one thousand, two hundred".