801306 has 64 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 226800.

The previous prime is 801301. The next prime is 801331. The reversal of 801306 is 603108.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (801301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11251 + ... + 11321.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁸⁰¹³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

801306 is an abundant number, since it is smaller than the sum of its proper divisors (1272294).

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

801306 is a wasteful number, since it uses less digits than its factorization.

801306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 801306 is about 895.1569694752. The cubic root of 801306 is about 92.8822651665.

The spelling of 801306 in words is "eight hundred one thousand, three hundred six".