7952800 has 36 divisors (see below), whose sum is σ = 19416726. Its totient is φ = 3180800.

The previous prime is 7952797. The next prime is 7952803. The reversal of 7952800 is 82597.

It is an interprime number because it is at equal distance from previous prime (7952797) and next prime (7952803).

It can be written as a sum of positive squares in 3 ways, for example, as 2917264 + 5035536 = 1708^2 + 2244^2 .

It is not an unprimeable number, because it can be changed into a prime (7952803) 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 5 ways as a sum of consecutive naturals, for example, 4171 + ... + 5770.

Almost surely, 2^7952800 is an apocalyptic number.

It is an amenable number.

7952800 is an abundant number, since it is smaller than the sum of its proper divisors (11463926).

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

7952800 is a wasteful number, since it uses less digits than its factorization.

7952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 7952800 is about 2820.0709210940. The cubic root of 7952800 is about 199.6058905656.

The spelling of 7952800 in words is "seven million, nine hundred fifty-two thousand, eight hundred".