830480 has 40 divisors (see below), whose sum is σ = 2208192. Its totient is φ = 284544.

The previous prime is 830477. The next prime is 830483. The reversal of 830480 is 84038.

830480 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (830477) and next prime (830483).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (830483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182 + ... + 1301.

2⁸³⁰⁴⁸⁰ is an apocalyptic number.

830480 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 830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104096).

830480 is an abundant number, since it is smaller than the sum of its proper divisors (1377712).

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

830480 is a wasteful number, since it uses less digits than its factorization.

830480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 830480 is about 911.3067540625. The cubic root of 830480 is about 93.9960764923.

The spelling of 830480 in words is "eight hundred thirty thousand, four hundred eighty".