82071320800 has 288 divisors, whose sum is σ = 241589537280. Its totient is φ = 26595993600.

The previous prime is 82071320797. The next prime is 82071320809. The reversal of 82071320800 is 802317028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82071320809) 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 47 ways as a sum of consecutive naturals, for example, 77352270 + ... + 77353330.

It is an arithmetic number, because the mean of its divisors is an integer number (838852560).

Almost surely, 2^82071320800 is an apocalyptic number.

82071320800 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 82071320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120794768640).

82071320800 is an abundant number, since it is smaller than the sum of its proper divisors (159518216480).

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

82071320800 is a wasteful number, since it uses less digits than its factorization.

82071320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 82071320800 its reverse (802317028), we get a palindrome (82873637828).

The spelling of 82071320800 in words is "eighty-two billion, seventy-one million, three hundred twenty thousand, eight hundred".