80088 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 25760.

The previous prime is 80077. The next prime is 80107. The reversal of 80088 is 88008.

It is a happy number.

It is a Cunningham number, because it is equal to 283²-1.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

80088 is a modest number, since divided by 88 gives 8 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1093 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁸⁰⁰⁸⁸ 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 80088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

80088 is an abundant number, since it is smaller than the sum of its proper divisors (127272).

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

80088 is a wasteful number, since it uses less digits than its factorization.

80088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

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

The square root of 80088 is about 282.9982332100. The cubic root of 80088 is about 43.1044871989.

It can be divided in two parts, 800 and 88, that added together give a palindrome (888).

The spelling of 80088 in words is "eighty thousand, eighty-eight".