82030000 has 100 divisors (see below), whose sum is σ = 214218928. Its totient is φ = 30240000.

The previous prime is 82029953. The next prime is 82030037. The reversal of 82030000 is 3028.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129685 + ... + 130315.

Almost surely, 2^82030000 is an apocalyptic number.

82030000 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 82030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107109464).

82030000 is an abundant number, since it is smaller than the sum of its proper divisors (132188928).

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

82030000 is a wasteful number, since it uses less digits than its factorization.

82030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 82030000 is about 9057.0414595496. The cubic root of 82030000 is about 434.5011235986.

Adding to 82030000 its reverse (3028), we get a palindrome (82033028).

The spelling of 82030000 in words is "eighty-two million, thirty thousand".