82000000000 has 220 divisors, whose sum is σ = 209897439444. Its totient is φ = 32000000000.

The previous prime is 81999999989. The next prime is 82000000001. The reversal of 82000000000 is 28.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1489342464 + 80510657536 = 38592^2 + 283744^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000000001) 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, 1999999980 + ... + 2000000020.

Almost surely, 2^82000000000 is an apocalyptic number.

82000000000 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 82000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104948719722).

82000000000 is an abundant number, since it is smaller than the sum of its proper divisors (127897439444).

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

82000000000 is an frugal number, since it uses more digits than its factorization.

82000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 82000000000 its reverse (28), we get a palindrome (82000000028).

The spelling of 82000000000 in words is "eighty-two billion", and thus it is an aban number and an uban number.