7968200 has 24 divisors (see below), whose sum is σ = 18526530. Its totient is φ = 3187200.

The previous prime is 7968199. The next prime is 7968203. The reversal of 7968200 is 28697.

It can be written as a sum of positive squares in 3 ways, for example, as 5098564 + 2869636 = 2258^2 + 1694^2 .

It is a super-2 number, since 2×7968200² = 126984422480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (7968203) 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, 19721 + ... + 20120.

Almost surely, 2^7968200 is an apocalyptic number.

It is an amenable number.

7968200 is an abundant number, since it is smaller than the sum of its proper divisors (10558330).

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

7968200 is a wasteful number, since it uses less digits than its factorization.

7968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39857 (or 39848 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 7968200 is about 2822.8000283407. The cubic root of 7968200 is about 199.7346480975.

The spelling of 7968200 in words is "seven million, nine hundred sixty-eight thousand, two hundred".