82830000 has 200 divisors, whose sum is σ = 292856256. Its totient is φ = 20000000.

The previous prime is 82829983. The next prime is 82830031. The reversal of 82830000 is 3828.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329875 + ... + 330125.

Almost surely, 2^82830000 is an apocalyptic number.

82830000 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 82830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146428128).

82830000 is an abundant number, since it is smaller than the sum of its proper divisors (210026256).

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

82830000 is a wasteful number, since it uses less digits than its factorization.

82830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

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

The square root of 82830000 is about 9101.0988347562. The cubic root of 82830000 is about 435.9090515344.

Adding to 82830000 its reverse (3828), we get a palindrome (82833828).

The spelling of 82830000 in words is "eighty-two million, eight hundred thirty thousand".