88880 has 40 divisors (see below), whose sum is σ = 227664. Its totient is φ = 32000.

The previous prime is 88873. The next prime is 88883. The reversal of 88880 is 8888.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88883) by changing a digit.

88880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 830 + ... + 930.

2⁸⁸⁸⁸⁰ is an apocalyptic number.

88880 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 88880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832).

88880 is an abundant number, since it is smaller than the sum of its proper divisors (138784).

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

88880 is a wasteful number, since it uses less digits than its factorization.

88880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 88880 is about 298.1274895074. The cubic root of 88880 is about 44.6273756604.

It can be divided in two parts, 8 and 8880, that added together give a palindrome (8888).

The spelling of 88880 in words is "eighty-eight thousand, eight hundred eighty".