8880 has 40 divisors (see below), whose sum is σ = 28272. Its totient is φ = 2304.

The previous prime is 8867. The next prime is 8887. The reversal of 8880 is 888.

8880 = T₂₅ + T₂₆ + ... + T₄₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 8880.

It is not an unprimeable number, because it can be changed into a prime (8887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 258.

2⁸⁸⁸⁰ is an apocalyptic number.

8880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136).

8880 is an abundant number, since it is smaller than the sum of its proper divisors (19392).

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

8880 is a wasteful number, since it uses less digits than its factorization.

8880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8880 is about 94.2337519151. The cubic root of 8880 is about 20.7079761090.

It can be divided in two parts, 8 and 880, that added together give a palindrome (888).

The spelling of 8880 in words is "eight thousand, eight hundred eighty".