830844 has 72 divisors (see below), whose sum is σ = 2521680. Its totient is φ = 235872.

The previous prime is 830839. The next prime is 830849. The reversal of 830844 is 448038.

It is an interprime number because it is at equal distance from previous prime (830839) and next prime (830849).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5214 + ... + 5370.

2⁸³⁰⁸⁴⁴ is an apocalyptic number.

830844 is a gapful number since it is divisible by the number (84) 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 830844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260840).

830844 is an abundant number, since it is smaller than the sum of its proper divisors (1690836).

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

830844 is a wasteful number, since it uses less digits than its factorization.

830844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 830844 is about 911.5064453968. The cubic root of 830844 is about 94.0098073365.

The spelling of 830844 in words is "eight hundred thirty thousand, eight hundred forty-four".