82000000820 has 48 divisors (see below), whose sum is σ = 186776504208. Its totient is φ = 30117642240.

The previous prime is 82000000793. The next prime is 82000000829. The reversal of 82000000820 is 2800000028.

It can be written as a sum of positive squares in 8 ways, for example, as 270339364 + 81729661456 = 16442^2 + 285884^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 82000000792 and 82000000801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000000829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2927237 + ... + 2955116.

It is an arithmetic number, because the mean of its divisors is an integer number (3891177171).

Almost surely, 2^82000000820 is an apocalyptic number.

It is an amenable number.

82000000820 is an abundant number, since it is smaller than the sum of its proper divisors (104776503388).

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

82000000820 is a wasteful number, since it uses less digits than its factorization.

82000000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882420 (or 5882418 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 82000000820 its reverse (2800000028), we get a palindrome (84800000848).

It can be divided in two parts, 820000008 and 20, that added together give a palindrome (820000028).

The spelling of 82000000820 in words is "eighty-two billion, eight hundred twenty", and thus it is an aban number.