280768 has 28 divisors (see below), whose sum is σ = 576072. Its totient is φ = 135680.

The previous prime is 280759. The next prime is 280769. The reversal of 280768 is 867082.

It is not an unprimeable number, because it can be changed into a prime (280769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2571 + ... + 2677.

It is an arithmetic number, because the mean of its divisors is an integer number (20574).

2²⁸⁰⁷⁶⁸ 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 280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288036).

280768 is an abundant number, since it is smaller than the sum of its proper divisors (295304).

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

280768 is a wasteful number, since it uses less digits than its factorization.

280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 280768 is about 529.8754570651. The cubic root of 280768 is about 65.4810853840.

The spelling of 280768 in words is "two hundred eighty thousand, seven hundred sixty-eight".