830580 has 48 divisors (see below), whose sum is σ = 2365440. Its totient is φ = 217728.

The previous prime is 830579. The next prime is 830587. The reversal of 830580 is 85038.

830580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×830580³ = 1718959571493336000, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 830580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830587) 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, 6477 + ... + 6603.

It is an arithmetic number, because the mean of its divisors is an integer number (49280).

2⁸³⁰⁵⁸⁰ 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 830580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182720).

830580 is an abundant number, since it is smaller than the sum of its proper divisors (1534860).

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

830580 is a wasteful number, since it uses less digits than its factorization.

830580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 830580 is about 911.3616186783. The cubic root of 830580 is about 93.9998491019. Note that the first 3 decimals are identical.

It can be divided in two parts, 8305 and 80, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 830580 in words is "eight hundred thirty thousand, five hundred eighty".