285784080 has 80 divisors (see below), whose sum is σ = 897204480. Its totient is φ = 75239424.

The previous prime is 285784049. The next prime is 285784087. The reversal of 285784080 is 80487582.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (285784087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11424 + ... + 26496.

It is an arithmetic number, because the mean of its divisors is an integer number (11215056).

Almost surely, 2^285784080 is an apocalyptic number.

285784080 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 285784080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448602240).

285784080 is an abundant number, since it is smaller than the sum of its proper divisors (611420400).

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

285784080 is a wasteful number, since it uses less digits than its factorization.

285784080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 285784080 is about 16905.1495113176. The cubic root of 285784080 is about 658.6873819933.

The spelling of 285784080 in words is "two hundred eighty-five million, seven hundred eighty-four thousand, eighty".