280906080 has 384 divisors, whose sum is σ = 1117670400. Its totient is φ = 57729024.

The previous prime is 280906069. The next prime is 280906081. The reversal of 280906080 is 80609082.

280906080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280906081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2577066 + ... + 2577174.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^280906080 is an apocalyptic number.

280906080 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 280906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

280906080 is an abundant number, since it is smaller than the sum of its proper divisors (836764320).

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

280906080 is a wasteful number, since it uses less digits than its factorization.

280906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 280906080 is about 16760.2529813843. The cubic root of 280906080 is about 654.9181802505.

The spelling of 280906080 in words is "two hundred eighty million, nine hundred six thousand, eighty".