82120000 has 70 divisors (see below), whose sum is σ = 203730098. Its totient is φ = 32832000.

The previous prime is 82119997. The next prime is 82120001. The reversal of 82120000 is 2128.

It can be written as a sum of positive squares in 5 ways, for example, as 31539456 + 50580544 = 5616^2 + 7112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82120001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38974 + ... + 41026.

Almost surely, 2^82120000 is an apocalyptic number.

82120000 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 82120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101865049).

82120000 is an abundant number, since it is smaller than the sum of its proper divisors (121610098).

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

82120000 is an equidigital number, since it uses as much as digits as its factorization.

82120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 82120000 is about 9062.0086073674. The cubic root of 82120000 is about 434.6599712085.

Adding to 82120000 its reverse (2128), we get a palindrome (82122128).

The spelling of 82120000 in words is "eighty-two million, one hundred twenty thousand".