800828 has 24 divisors (see below), whose sum is σ = 1647072. Its totient is φ = 333504.

The previous prime is 800801. The next prime is 800861. The reversal of 800828 is 828008.

800828 is nontrivially palindromic in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 800797 and 800806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (68628).

2⁸⁰⁰⁸²⁸ 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 800828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823536).

800828 is an abundant number, since it is smaller than the sum of its proper divisors (846244).

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

800828 is a wasteful number, since it uses less digits than its factorization.

800828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 800828 is about 894.8899373666. The cubic root of 800828 is about 92.8637925923.

The spelling of 800828 in words is "eight hundred thousand, eight hundred twenty-eight".