82772809346784 has 96 divisors (see below), whose sum is σ = 219294417412224. Its totient is φ = 27335649968640.

The previous prime is 82772809346783. The next prime is 82772809346791. The reversal of 82772809346784 is 48764390827728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82772809346784² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82772809346783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2340567 + ... + 13077609.

It is an arithmetic number, because the mean of its divisors is an integer number (2284316848044).

Almost surely, 2^{82772809346784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82772809346784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109647208706112).

82772809346784 is an abundant number, since it is smaller than the sum of its proper divisors (136521608065440).

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

82772809346784 is a wasteful number, since it uses less digits than its factorization.

82772809346784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10737800 (or 10737792 counting only the distinct ones).

The product of its (nonzero) digits is 1820786688, while the sum is 75.

The spelling of 82772809346784 in words is "eighty-two trillion, seven hundred seventy-two billion, eight hundred nine million, three hundred forty-six thousand, seven hundred eighty-four".