7940200 has 72 divisors (see below), whose sum is σ = 19627650. Its totient is φ = 2983680.

The previous prime is 7940197. The next prime is 7940209. The reversal of 7940200 is 20497.

It can be written as a sum of positive squares in 9 ways, for example, as 3437316 + 4502884 = 1854^2 + 2122^2 .

It is a super-3 number, since 3×7940200³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7940209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 214582 + ... + 214618.

Almost surely, 2^7940200 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 7940200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9813825).

7940200 is an abundant number, since it is smaller than the sum of its proper divisors (11687450).

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

7940200 is a wasteful number, since it uses less digits than its factorization.

7940200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 7940200 is about 2817.8360491696. The cubic root of 7940200 is about 199.5004198038.

Adding to 7940200 its reverse (20497), we get a palindrome (7960697).

The spelling of 7940200 in words is "seven million, nine hundred forty thousand, two hundred".