80880 has 40 divisors (see below), whose sum is σ = 251472. Its totient is φ = 21504.

The previous prime is 80863. The next prime is 80897. The reversal of 80880 is 8808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80863) and next prime (80897).

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 80880.

It is a congruent number.

It is an unprimeable number.

80880 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, 72 + ... + 408.

2⁸⁰⁸⁸⁰ is an apocalyptic number.

80880 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 80880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125736).

80880 is an abundant number, since it is smaller than the sum of its proper divisors (170592).

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

80880 is a wasteful number, since it uses less digits than its factorization.

80880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

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

The square root of 80880 is about 284.3940927657. The cubic root of 80880 is about 43.2461098888.

It can be divided in two parts, 808 and 80, that added together give a palindrome (888).

The spelling of 80880 in words is "eighty thousand, eight hundred eighty".