7952900 has 36 divisors (see below), whose sum is σ = 17530128. Its totient is φ = 3131040.

The previous prime is 7952897. The next prime is 7952909. The reversal of 7952900 is 92597.

It is not an unprimeable number, because it can be changed into a prime (7952909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6107 + ... + 7293.

It is an arithmetic number, because the mean of its divisors is an integer number (486948).

Almost surely, 2^7952900 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 7952900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765064).

7952900 is an abundant number, since it is smaller than the sum of its proper divisors (9577228).

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

7952900 is a wasteful number, since it uses less digits than its factorization.

7952900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 7952900 is about 2820.0886510888. The cubic root of 7952900 is about 199.6067271894.

The spelling of 7952900 in words is "seven million, nine hundred fifty-two thousand, nine hundred".