800892 has 18 divisors (see below), whose sum is σ = 2024568. Its totient is φ = 266952.

The previous prime is 800879. The next prime is 800897. The reversal of 800892 is 298008.

800892 is nontrivially palindromic in base 11.

800892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800897) by changing a digit.

800892 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 5 ways as a sum of consecutive naturals, for example, 11088 + ... + 11159.

It is an arithmetic number, because the mean of its divisors is an integer number (112476).

2⁸⁰⁰⁸⁹² is an apocalyptic number.

It is an amenable number.

800892 is an abundant number, since it is smaller than the sum of its proper divisors (1223676).

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

800892 is a wasteful number, since it uses less digits than its factorization.

800892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22257 (or 22252 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800892 is about 894.9256952396. The cubic root of 800892 is about 92.8662663338.

It can be divided in two parts, 8008 and 92, that added together give a square (8100 = 90²).

The spelling of 800892 in words is "eight hundred thousand, eight hundred ninety-two".