282772080 has 320 divisors, whose sum is σ = 1039933440. Its totient is φ = 70502400.

The previous prime is 282772037. The next prime is 282772109. The reversal of 282772080 is 80277282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2745309 + ... + 2745411.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^282772080 is an apocalyptic number.

282772080 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 282772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

282772080 is an abundant number, since it is smaller than the sum of its proper divisors (757161360).

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

282772080 is a wasteful number, since it uses less digits than its factorization.

282772080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 282772080 is about 16815.8282579241. The cubic root of 282772080 is about 656.3651422455.

The spelling of 282772080 in words is "two hundred eighty-two million, seven hundred seventy-two thousand, eighty".