800382 has 32 divisors (see below), whose sum is σ = 1782144. Its totient is φ = 237600.

The previous prime is 800357. The next prime is 800399. The reversal of 800382 is 283008.

It is a super-2 number, since 2×800382² = 1281222691848, which contains 22 as substring.

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, 4332 + ... + 4512.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

2⁸⁰⁰³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891072).

800382 is an abundant number, since it is smaller than the sum of its proper divisors (981762).

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

800382 is a wasteful number, since it uses less digits than its factorization.

800382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

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

The square root of 800382 is about 894.6407100060. The cubic root of 800382 is about 92.8465500455.

The spelling of 800382 in words is "eight hundred thousand, three hundred eighty-two".