7888920 has 96 divisors (see below), whose sum is σ = 25693200. Its totient is φ = 1936896.

The previous prime is 7888919. The next prime is 7888921. The reversal of 7888920 is 298887.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7888919) and next prime (7888921).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7888921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20086 + ... + 20474.

Almost surely, 2^7888920 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 7888920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846600).

7888920 is an abundant number, since it is smaller than the sum of its proper divisors (17804280).

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

7888920 is a wasteful number, since it uses less digits than its factorization.

7888920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 7888920 is about 2808.7221293677. The cubic root of 7888920 is about 199.0700156818.

The spelling of 7888920 in words is "seven million, eight hundred eighty-eight thousand, nine hundred twenty".