7920200 has 36 divisors (see below), whose sum is σ = 18507465. Its totient is φ = 3152160.

The previous prime is 7920193. The next prime is 7920203. The reversal of 7920200 is 20297.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7761796 + 158404 = 2786^2 + 398^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1990.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (7920203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39701 + ... + 39899.

Almost surely, 2^7920200 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 7920200

7920200 is an abundant number, since it is smaller than the sum of its proper divisors (10587265).

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

7920200 is a wasteful number, since it uses less digits than its factorization.

7920200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 7920200 is about 2814.2849891225. The cubic root of 7920200 is about 199.3327765396.

Adding to 7920200 its reverse (20297), we get a palindrome (7940497).

The spelling of 7920200 in words is "seven million, nine hundred twenty thousand, two hundred".