800261 has 16 divisors (see below), whose sum is σ = 1052160. Its totient is φ = 589680.

The previous prime is 800243. The next prime is 800281. The reversal of 800261 is 162008.

It is not a de Polignac number, because 800261 - 2¹⁴ = 783877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (65760).

2⁸⁰⁰²⁶¹ is an apocalyptic number.

It is an amenable number.

800261 is a deficient number, since it is larger than the sum of its proper divisors (251899).

800261 is a wasteful number, since it uses less digits than its factorization.

800261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 800261 is about 894.5730825371. The cubic root of 800261 is about 92.8418710303.

Adding to 800261 its reverse (162008), we get a palindrome (962269).

The spelling of 800261 in words is "eight hundred thousand, two hundred sixty-one".