280282700880 has 1080 divisors, whose sum is σ = 1227310208280. Its totient is φ = 57062154240.

The previous prime is 280282700879. The next prime is 280282700899. The reversal of 280282700880 is 88007282082.

280282700880 is a `hidden beast` number, since 280 + 28 + 270 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 116422899264 + 163859801616 = 341208^2 + 404796^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 172906470 + ... + 172908090.

It is an arithmetic number, because the mean of its divisors is an integer number (1136398341).

Almost surely, 2^280282700880 is an apocalyptic number.

280282700880 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 280282700880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613655104140).

280282700880 is an abundant number, since it is smaller than the sum of its proper divisors (947027507400).

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

280282700880 is a wasteful number, since it uses less digits than its factorization.

280282700880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 280282700880 in words is "two hundred eighty billion, two hundred eighty-two million, seven hundred thousand, eight hundred eighty".