834000 has 80 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 220800.

The previous prime is 833999. The next prime is 834007. The reversal of 834000 is 438.

834000 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 834000.

It is not an unprimeable number, because it can be changed into a prime (834007) 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, 5931 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁸³⁴⁰⁰⁰ is an apocalyptic number.

834000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

834000 is an abundant number, since it is smaller than the sum of its proper divisors (1874160).

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

834000 is a wasteful number, since it uses less digits than its factorization.

834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 834000 is about 913.2360045465. The cubic root of 834000 is about 94.1286904934.

Adding to 834000 its reverse (438), we get a palindrome (834438).

The spelling of 834000 in words is "eight hundred thirty-four thousand".