88080 has 40 divisors (see below), whose sum is σ = 273792. Its totient is φ = 23424.

The previous prime is 88079. The next prime is 88093. The reversal of 88080 is 8088.

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 self number, because there is not a number n which added to its sum of digits gives 88080.

It is an unprimeable number.

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, 57 + ... + 423.

2⁸⁸⁰⁸⁰ is an apocalyptic number.

88080 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 88080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136896).

88080 is an abundant number, since it is smaller than the sum of its proper divisors (185712).

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

88080 is a wasteful number, since it uses less digits than its factorization.

88080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

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

The square root of 88080 is about 296.7827488248. The cubic root of 88080 is about 44.4930763962.

The spelling of 88080 in words is "eighty-eight thousand, eighty".