7889 has 8 divisors (see below), whose sum is σ = 9600. Its totient is φ = 6468.

The previous prime is 7883. The next prime is 7901. The reversal of 7889 is 9887.

It is not a de Polignac number, because 7889 - 2⁴ = 7873 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 7.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (1200).

It is an amenable number.

7889 is a deficient number, since it is larger than the sum of its proper divisors (1711).

7889 is an equidigital number, since it uses as much as digits as its factorization.

7889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 7889 is about 88.8200427831. The cubic root of 7889 is about 19.9070688590.

Adding to 7889 its sum of digits (32), we get a square (7921 = 89²).

It can be divided in two parts, 788 and 9, that added together give a palindrome (797).

The spelling of 7889 in words is "seven thousand, eight hundred eighty-nine".