82010800080 has 1280 divisors, whose sum is σ = 342286663680. Its totient is φ = 17837107200.

The previous prime is 82010800051. The next prime is 82010800093. The reversal of 82010800080 is 8000801028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 796221309 + ... + 796221411.

It is an arithmetic number, because the mean of its divisors is an integer number (267411456).

Almost surely, 2^82010800080 is an apocalyptic number.

82010800080 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 82010800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171143331840).

82010800080 is an abundant number, since it is smaller than the sum of its proper divisors (260275863600).

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

82010800080 is a wasteful number, since it uses less digits than its factorization.

82010800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 82010800080 in words is "eighty-two billion, ten million, eight hundred thousand, eighty".