881280 has 160 divisors (see below), whose sum is σ = 3332340. Its totient is φ = 221184.

The previous prime is 881273. The next prime is 881311. The reversal of 881280 is 82188.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 5184 = 936^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 881280.

It is an unprimeable number.

881280 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 19 ways as a sum of consecutive naturals, for example, 51832 + ... + 51848.

2⁸⁸¹²⁸⁰ is an apocalyptic number.

881280 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 881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666170).

881280 is an abundant number, since it is smaller than the sum of its proper divisors (2451060).

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

881280 is a wasteful number, since it uses less digits than its factorization.

881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 881280 is about 938.7651463492. The cubic root of 881280 is about 95.8748368854.

881280 divided by its sum of digits (27) gives a triangular number (32640 = T₂₅₅).

The spelling of 881280 in words is "eight hundred eighty-one thousand, two hundred eighty".