807282 has 48 divisors (see below), whose sum is σ = 2059200. Its totient is φ = 223776.

The previous prime is 807281. The next prime is 807299. The reversal of 807282 is 282708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 807282.

It is not an unprimeable number, because it can be changed into a prime (807281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5344 + ... + 5492.

It is an arithmetic number, because the mean of its divisors is an integer number (42900).

2⁸⁰⁷²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029600).

807282 is an abundant number, since it is smaller than the sum of its proper divisors (1251918).

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

807282 is a wasteful number, since it uses less digits than its factorization.

807282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 807282 is about 898.4887311480. The cubic root of 807282 is about 93.1125934255.

It can be divided in two parts, 807 and 282, that added together give a square (1089 = 33²).

The spelling of 807282 in words is "eight hundred seven thousand, two hundred eighty-two".