830032480 has 96 divisors (see below), whose sum is σ = 2185716960. Its totient is φ = 296017920.

The previous prime is 830032477. The next prime is 830032501. The reversal of 830032480 is 84230038.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43650 + ... + 59710.

It is an arithmetic number, because the mean of its divisors is an integer number (22767885).

Almost surely, 2^830032480 is an apocalyptic number.

830032480 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 830032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092858480).

830032480 is an abundant number, since it is smaller than the sum of its proper divisors (1355684480).

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

830032480 is a wasteful number, since it uses less digits than its factorization.

830032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112 (or 16104 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 830032480 is about 28810.2842748905. The cubic root of 830032480 is about 939.7918959871.

The spelling of 830032480 in words is "eight hundred thirty million, thirty-two thousand, four hundred eighty".