7988292 has 72 divisors (see below), whose sum is σ = 22091160. Its totient is φ = 2433600.

The previous prime is 7988273. The next prime is 7988293. The reversal of 7988292 is 2928897.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 7322436 = 816^2 + 2706^2 .

It is not an unprimeable number, because it can be changed into a prime (7988293) 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 23 ways as a sum of consecutive naturals, for example, 79042 + ... + 79142.

Almost surely, 2^7988292 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 7988292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11045580).

7988292 is an abundant number, since it is smaller than the sum of its proper divisors (14102868).

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

7988292 is a wasteful number, since it uses less digits than its factorization.

7988292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 7988292 is about 2826.3566653910. The cubic root of 7988292 is about 199.9023856983.

The spelling of 7988292 in words is "seven million, nine hundred eighty-eight thousand, two hundred ninety-two".