800268 has 36 divisors (see below), whose sum is σ = 2173752. Its totient is φ = 228480.

The previous prime is 800243. The next prime is 800281. The reversal of 800268 is 862008.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (60382).

2⁸⁰⁰²⁶⁸ 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 800268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086876).

800268 is an abundant number, since it is smaller than the sum of its proper divisors (1373484).

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

800268 is a wasteful number, since it uses less digits than its factorization.

800268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 800268 is about 894.5769950094. The cubic root of 800268 is about 92.8421417300.

The spelling of 800268 in words is "eight hundred thousand, two hundred sixty-eight".