807828 has 48 divisors (see below), whose sum is σ = 2204160. Its totient is φ = 225504.

The previous prime is 807817. The next prime is 807869. The reversal of 807828 is 828708.

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, 4875 + ... + 5037.

It is an arithmetic number, because the mean of its divisors is an integer number (45920).

2⁸⁰⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102080).

807828 is an abundant number, since it is smaller than the sum of its proper divisors (1396332).

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

807828 is a wasteful number, since it uses less digits than its factorization.

807828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 807828 is about 898.7925233334. The cubic root of 807828 is about 93.1335807297.

The spelling of 807828 in words is "eight hundred seven thousand, eight hundred twenty-eight".