282000080 has 80 divisors (see below), whose sum is σ = 701432784. Its totient is φ = 105062400.

The previous prime is 282000077. The next prime is 282000137. The reversal of 282000080 is 80000282.

It can be written as a sum of positive squares in 8 ways, for example, as 38390416 + 243609664 = 6196^2 + 15608^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136334 + ... + 138386.

Almost surely, 2^282000080 is an apocalyptic number.

282000080 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 282000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350716392).

282000080 is an abundant number, since it is smaller than the sum of its proper divisors (419432704).

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

282000080 is a wasteful number, since it uses less digits than its factorization.

282000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 282000080 is about 16792.8580057118. The cubic root of 282000080 is about 655.7672806280.

The spelling of 282000080 in words is "two hundred eighty-two million, eighty", and thus it is an aban number.