800359 has 8 divisors (see below), whose sum is σ = 936320. Its totient is φ = 669816.

The previous prime is 800357. The next prime is 800399. The reversal of 800359 is 953008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 800359 - 2¹ = 800357 is a prime.

800359 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 1630.

It is an arithmetic number, because the mean of its divisors is an integer number (117040).

2⁸⁰⁰³⁵⁹ is an apocalyptic number.

800359 is a deficient number, since it is larger than the sum of its proper divisors (135961).

800359 is a wasteful number, since it uses less digits than its factorization.

800359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 800359 is about 894.6278555914. The cubic root of 800359 is about 92.8456606822.

The spelling of 800359 in words is "eight hundred thousand, three hundred fifty-nine".