82789205760 has 756 divisors, whose sum is σ = 316870204728. Its totient is φ = 20710785024.

The previous prime is 82789205747. The next prime is 82789205767. The reversal of 82789205760 is 6750298728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82789205697 and 82789205706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82789205767) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 269671527 + ... + 269671833.

Almost surely, 2^82789205760 is an apocalyptic number.

82789205760 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 82789205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158435102364).

82789205760 is an abundant number, since it is smaller than the sum of its proper divisors (234080998968).

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

82789205760 is an equidigital number, since it uses as much as digits as its factorization.

82789205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82789205760 in words is "eighty-two billion, seven hundred eighty-nine million, two hundred five thousand, seven hundred sixty".