282780960 has 288 divisors, whose sum is σ = 1131423552. Its totient is φ = 58705920.

The previous prime is 282780947. The next prime is 282780961. The reversal of 282780960 is 69087282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (282780961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258174 + ... + 259266.

It is an arithmetic number, because the mean of its divisors is an integer number (3928554).

Almost surely, 2^282780960 is an apocalyptic number.

282780960 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 282780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565711776).

282780960 is an abundant number, since it is smaller than the sum of its proper divisors (848642592).

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

282780960 is a wasteful number, since it uses less digits than its factorization.

282780960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 282780960 is about 16816.0922928010. The cubic root of 282780960 is about 656.3720128690.

The spelling of 282780960 in words is "two hundred eighty-two million, seven hundred eighty thousand, nine hundred sixty".