82369301760 has 504 divisors, whose sum is σ = 303170752584. Its totient is φ = 21419458560.

The previous prime is 82369301737. The next prime is 82369301761. The reversal of 82369301760 is 6710396328.

It can be written as a sum of positive squares in 4 ways, for example, as 3763086336 + 78606215424 = 61344^2 + 280368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82369301761) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 38256844 + ... + 38258996.

It is an arithmetic number, because the mean of its divisors is an integer number (601529271).

Almost surely, 2^82369301760 is an apocalyptic number.

82369301760 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 82369301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151585376292).

82369301760 is an abundant number, since it is smaller than the sum of its proper divisors (220801450824).

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

82369301760 is an equidigital number, since it uses as much as digits as its factorization.

82369301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 82369301760 in words is "eighty-two billion, three hundred sixty-nine million, three hundred one thousand, seven hundred sixty".