8082165000 has 640 divisors, whose sum is σ = 32245678080. Its totient is φ = 1641600000.

The previous prime is 8082164999. The next prime is 8082165001. The reversal of 8082165000 is 5612808.

It is an interprime number because it is at equal distance from previous prime (8082164999) and next prime (8082165001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082165001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42314905 + ... + 42315095.

It is an arithmetic number, because the mean of its divisors is an integer number (50383872).

Almost surely, 2^8082165000 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 8082165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122839040).

8082165000 is an abundant number, since it is smaller than the sum of its proper divisors (24163513080).

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

8082165000 is a wasteful number, since it uses less digits than its factorization.

8082165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8082165000 is about 89900.8620648323. The cubic root of 8082165000 is about 2006.8237749029.

Adding to 8082165000 its reverse (5612808), we get a palindrome (8087777808).

The spelling of 8082165000 in words is "eight billion, eighty-two million, one hundred sixty-five thousand".