280704 has 64 divisors (see below), whose sum is σ = 807840. Its totient is φ = 86016.

The previous prime is 280703. The next prime is 280711. The reversal of 280704 is 407082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280704.

It is not an unprimeable number, because it can be changed into a prime (280703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6507 + ... + 6549.

2²⁸⁰⁷⁰⁴ is an apocalyptic number.

280704 is a gapful number since it is divisible by the number (24) 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 280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403920).

280704 is an abundant number, since it is smaller than the sum of its proper divisors (527136).

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

280704 is a wasteful number, since it uses less digits than its factorization.

280704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 280704 is about 529.8150620736. The cubic root of 280704 is about 65.4761096176.

Adding to 280704 its reverse (407082), we get a palindrome (687786).

The spelling of 280704 in words is "two hundred eighty thousand, seven hundred four".