7901200 has 30 divisors (see below), whose sum is σ = 18983594. Its totient is φ = 3160320.

The previous prime is 7901197. The next prime is 7901203. The reversal of 7901200 is 21097.

7901200 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (7901197) and next prime (7901203).

It can be written as a sum of positive squares in 3 ways, for example, as 150544 + 7750656 = 388^2 + 2784^2 .

It is a super-2 number, since 2×7901200² = 124857922880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7901203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9477 + ... + 10276.

Almost surely, 2^7901200 is an apocalyptic number.

It is an amenable number.

7901200 is an abundant number, since it is smaller than the sum of its proper divisors (11082394).

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

7901200 is a wasteful number, since it uses less digits than its factorization.

7901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19771 (or 19760 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 7901200 is about 2810.9073268253. The cubic root of 7901200 is about 199.1732538296.

Adding to 7901200 its reverse (21097), we get a palindrome (7922297).

The spelling of 7901200 in words is "seven million, nine hundred one thousand, two hundred".