7888 has 20 divisors (see below), whose sum is σ = 16740. Its totient is φ = 3584.

The previous prime is 7883. The next prime is 7901. The reversal of 7888 is 8887.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 2704 = 72^2 + 52^2 .

It is a plaindrome in base 10 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (837).

2⁷⁸⁸⁸ 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 7888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370).

7888 is an abundant number, since it is smaller than the sum of its proper divisors (8852).

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

7888 is a wasteful number, since it uses less digits than its factorization.

7888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its digits is 3584, while the sum is 31.

The square root of 7888 is about 88.8144132447. The cubic root of 7888 is about 19.9062276915.

Subtracting 7888 from its reverse (8887), we obtain a palindrome (999).

It can be divided in two parts, 7 and 888, that multiplied together give a triangular number (6216 = T₁₁₁).

The spelling of 7888 in words is "seven thousand, eight hundred eighty-eight".