800526 has 16 divisors (see below), whose sum is σ = 1618128. Its totient is φ = 264000.

The previous prime is 800521. The next prime is 800533. The reversal of 800526 is 625008.

It is a happy number.

800526 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 800526.

It is not an unprimeable number, because it can be changed into a prime (800521) by changing a digit.

800526 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 7 ways as a sum of consecutive naturals, for example, 55 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (101133).

2⁸⁰⁰⁵²⁶ is an apocalyptic number.

800526 is an abundant number, since it is smaller than the sum of its proper divisors (817602).

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

800526 is a wasteful number, since it uses less digits than its factorization.

800526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 800526 is about 894.7211856215. The cubic root of 800526 is about 92.8521178459.

It can be divided in two parts, 800 and 526, that added together give a triangular number (1326 = T₅₁).

The spelling of 800526 in words is "eight hundred thousand, five hundred twenty-six".