830280 has 128 divisors (see below), whose sum is σ = 2954880. Its totient is φ = 184320.

The previous prime is 830279. The next prime is 830293. The reversal of 830280 is 82038.

830280 = T₉₁ + T₉₂ + ... + T₁₇₈.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22422 + ... + 22458.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2⁸³⁰²⁸⁰ 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 830280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477440).

830280 is an abundant number, since it is smaller than the sum of its proper divisors (2124600).

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

830280 is a wasteful number, since it uses less digits than its factorization.

830280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 830280 is about 911.1970149205. The cubic root of 830280 is about 93.9885303646.

The spelling of 830280 in words is "eight hundred thirty thousand, two hundred eighty".