7993888 has 48 divisors (see below), whose sum is σ = 18192384. Its totient is φ = 3386880.

The previous prime is 7993883. The next prime is 7993897. The reversal of 7993888 is 8883997.

It is not an unprimeable number, because it can be changed into a prime (7993883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28308 + ... + 28588.

It is an arithmetic number, because the mean of its divisors is an integer number (379008).

Almost surely, 2^7993888 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 7993888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096192).

7993888 is an abundant number, since it is smaller than the sum of its proper divisors (10198496).

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

7993888 is a wasteful number, since it uses less digits than its factorization.

7993888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its digits is 870912, while the sum is 52.

The square root of 7993888 is about 2827.3464591380. The cubic root of 7993888 is about 199.9490536901.

The spelling of 7993888 in words is "seven million, nine hundred ninety-three thousand, eight hundred eighty-eight".