830304 has 72 divisors (see below), whose sum is σ = 2502360. Its totient is φ = 267840.

The previous prime is 830293. The next prime is 830309. The reversal of 830304 is 403038.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830309) by changing a digit.

830304 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 11 ways as a sum of consecutive naturals, for example, 26769 + ... + 26799.

It is an arithmetic number, because the mean of its divisors is an integer number (34755).

2⁸³⁰³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251180).

830304 is an abundant number, since it is smaller than the sum of its proper divisors (1672056).

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

830304 is a wasteful number, since it uses less digits than its factorization.

830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 830304 is about 911.2101843153. The cubic root of 830304 is about 93.9894359639.

The spelling of 830304 in words is "eight hundred thirty thousand, three hundred four".