280800 has 144 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 69120.

The previous prime is 280771. The next prime is 280811. The reversal of 280800 is 8082.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21594 + ... + 21606.

It is an arithmetic number, because the mean of its divisors is an integer number (7595).

2²⁸⁰⁸⁰⁰ is an apocalyptic number.

280800 is a gapful number since it is divisible by the number (20) 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 280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

280800 is an abundant number, since it is smaller than the sum of its proper divisors (812880).

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

280800 is a wasteful number, since it uses less digits than its factorization.

280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 280800 is about 529.9056519797. The cubic root of 280800 is about 65.4835729837.

Adding to 280800 its reverse (8082), we get a palindrome (288882).

The spelling of 280800 in words is "two hundred eighty thousand, eight hundred".