7884 has 24 divisors (see below), whose sum is σ = 20720. Its totient is φ = 2592.

The previous prime is 7883. The next prime is 7901. The reversal of 7884 is 4887.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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, 72 + ... + 144.

2⁷⁸⁸⁴ 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 7884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360).

7884 is an abundant number, since it is smaller than the sum of its proper divisors (12836).

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

7884 is a wasteful number, since it uses less digits than its factorization.

7884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 7884 is about 88.7918915217. The cubic root of 7884 is about 19.9028623106.

7884 divided by its sum of digits (27) gives a palindrome (292).

The spelling of 7884 in words is "seven thousand, eight hundred eighty-four".