82010000 has 100 divisors (see below), whose sum is σ = 203372400. Its totient is φ = 32016000.

The previous prime is 82009997. The next prime is 82010009. The reversal of 82010000 is 1028.

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

It is not an unprimeable number, because it can be changed into a prime (82010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 589931 + ... + 590069.

It is an arithmetic number, because the mean of its divisors is an integer number (2033724).

Almost surely, 2^82010000 is an apocalyptic number.

82010000 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 82010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101686200).

82010000 is an abundant number, since it is smaller than the sum of its proper divisors (121362400).

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

82010000 is a wasteful number, since it uses less digits than its factorization.

82010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 82010000 is about 9055.9372789347. The cubic root of 82010000 is about 434.4658083528.

Adding to 82010000 its reverse (1028), we get a palindrome (82011028).

The spelling of 82010000 in words is "eighty-two million, ten thousand".