800832 has 56 divisors (see below), whose sum is σ = 2190496. Its totient is φ = 258048.

The previous prime is 800801. The next prime is 800861. The reversal of 800832 is 238008.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 800799 and 800808.

It is a congruent number.

It is an unprimeable number.

800832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8208 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (39116).

2⁸⁰⁰⁸³² 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 800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095248).

800832 is an abundant number, since it is smaller than the sum of its proper divisors (1389664).

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

800832 is a wasteful number, since it uses less digits than its factorization.

800832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 800832 is about 894.8921722755. The cubic root of 800832 is about 92.8639472050.

The spelling of 800832 in words is "eight hundred thousand, eight hundred thirty-two".