7952400 has 135 divisors (see below), whose sum is σ = 28196701. Its totient is φ = 2075520.

The previous prime is 7952389. The next prime is 7952407. The reversal of 7952400 is 42597.

The square root of 7952400 is 2820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2862864 + 5089536 = 1692^2 + 2256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7952407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169177 + ... + 169223.

Almost surely, 2^7952400 is an apocalyptic number.

7952400 is the 2820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7952400

7952400 is an abundant number, since it is smaller than the sum of its proper divisors (20244301).

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

7952400 is a wasteful number, since it uses less digits than its factorization.

7952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 7952400 is about 199.6025440002.

Adding to 7952400 its reverse (42597), we get a palindrome (7994997).

The spelling of 7952400 in words is "seven million, nine hundred fifty-two thousand, four hundred".