280764 has 36 divisors (see below), whose sum is σ = 775320. Its totient is φ = 84960.

The previous prime is 280759. The next prime is 280769. The reversal of 280764 is 467082.

It is an interprime number because it is at equal distance from previous prime (280759) and next prime (280769).

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280764.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 750.

2²⁸⁰⁷⁶⁴ 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 280764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387660).

280764 is an abundant number, since it is smaller than the sum of its proper divisors (494556).

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

280764 is a wasteful number, since it uses less digits than its factorization.

280764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 280764 is about 529.8716825798. The cubic root of 280764 is about 65.4807744208.

The spelling of 280764 in words is "two hundred eighty thousand, seven hundred sixty-four".