7997200 has 30 divisors (see below), whose sum is σ = 19214234. Its totient is φ = 3198720.

The previous prime is 7997167. The next prime is 7997201. The reversal of 7997200 is 27997.

It can be written as a sum of positive squares in 3 ways, for example, as 685584 + 7311616 = 828^2 + 2704^2 .

It is not an unprimeable number, because it can be changed into a prime (7997201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9597 + ... + 10396.

Almost surely, 2^7997200 is an apocalyptic number.

It is an amenable number.

7997200 is an abundant number, since it is smaller than the sum of its proper divisors (11217034).

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

7997200 is a wasteful number, since it uses less digits than its factorization.

7997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011 (or 20000 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 7997200 is about 2827.9321066815. The cubic root of 7997200 is about 199.9766639439.

It can be divided in two parts, 79 and 97200, that added together give a palindrome (97279).

The spelling of 7997200 in words is "seven million, nine hundred ninety-seven thousand, two hundred".