82766030000 has 200 divisors, whose sum is σ = 213366700800. Its totient is φ = 30983680000.

The previous prime is 82766029987. The next prime is 82766030041. The reversal of 82766030000 is 3066728.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32468726 + ... + 32471274.

It is an arithmetic number, because the mean of its divisors is an integer number (1066833504).

Almost surely, 2^82766030000 is an apocalyptic number.

82766030000 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 82766030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106683350400).

82766030000 is an abundant number, since it is smaller than the sum of its proper divisors (130600670800).

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

82766030000 is a wasteful number, since it uses less digits than its factorization.

82766030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 82766030000 its reverse (3066728), we get a palindrome (82769096728).

The spelling of 82766030000 in words is "eighty-two billion, seven hundred sixty-six million, thirty thousand".