800384 has 48 divisors (see below), whose sum is σ = 1773270. Its totient is φ = 359424.

The previous prime is 800357. The next prime is 800399. The reversal of 800384 is 483008.

It can be written as a sum of positive squares in 3 ways, for example, as 577600 + 222784 = 760^2 + 472^2 .

It is a super-2 number, since 2×800384² = 1281229094912, which contains 22 as substring.

It is an unprimeable number.

800384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21614 + ... + 21650.

2⁸⁰⁰³⁸⁴ 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 800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886635).

800384 is an abundant number, since it is smaller than the sum of its proper divisors (972886).

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

800384 is a wasteful number, since it uses less digits than its factorization.

800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 800384 is about 894.6418277724. The cubic root of 800384 is about 92.8466273807.

The spelling of 800384 in words is "eight hundred thousand, three hundred eighty-four".