800360 has 64 divisors (see below), whose sum is σ = 2099520. Its totient is φ = 271360.

The previous prime is 800357. The next prime is 800399. The reversal of 800360 is 63008.

It is a happy number.

It is a super-2 number, since 2×800360² = 1281152259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

800360 is a modest number, since divided by 360 gives 80 as remainder.

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, 7427 + ... + 7533.

It is an arithmetic number, because the mean of its divisors is an integer number (32805).

2⁸⁰⁰³⁶⁰ 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 800360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049760).

800360 is an abundant number, since it is smaller than the sum of its proper divisors (1299160).

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

800360 is a wasteful number, since it uses less digits than its factorization.

800360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

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

The square root of 800360 is about 894.6284144828. The cubic root of 800360 is about 92.8456993506.

Adding to 800360 its reverse (63008), we get a palindrome (863368).

The spelling of 800360 in words is "eight hundred thousand, three hundred sixty".