800306 has 8 divisors (see below), whose sum is σ = 1292844. Its totient is φ = 369360.

The previous prime is 800291. The next prime is 800311. The reversal of 800306 is 603008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 707281 + 93025 = 841^2 + 305^2 .

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

It is an unprimeable number.

800306 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 3 ways as a sum of consecutive naturals, for example, 15365 + ... + 15416.

2⁸⁰⁰³⁰⁶ is an apocalyptic number.

800306 is a deficient number, since it is larger than the sum of its proper divisors (492538).

800306 is a wasteful number, since it uses less digits than its factorization.

800306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30796.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 800306 is about 894.5982338458. The cubic root of 800306 is about 92.8436112150.

The spelling of 800306 in words is "eight hundred thousand, three hundred six".