800880 has 80 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 206080.

The previous prime is 800879. The next prime is 800897. The reversal of 800880 is 88008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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.

800880 is a modest number, since divided by 880 gives 80 as remainder.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 800880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11245 + ... + 11315.

2⁸⁰⁰⁸⁸⁰ is an apocalyptic number.

800880 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 800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

800880 is an abundant number, since it is smaller than the sum of its proper divisors (1770384).

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

800880 is a wasteful number, since it uses less digits than its factorization.

800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

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

The square root of 800880 is about 894.9189907472. The cubic root of 800880 is about 92.8658025173.

Adding to 800880 its reverse (88008), we get a palindrome (888888).

The spelling of 800880 in words is "eight hundred thousand, eight hundred eighty".