8082000 has 120 divisors (see below), whose sum is σ = 28290600. Its totient is φ = 2150400.

The previous prime is 8081971. The next prime is 8082013. The reversal of 8082000 is 2808.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 7884864 = 444^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17776 + ... + 18224.

It is an arithmetic number, because the mean of its divisors is an integer number (235755).

Almost surely, 2^8082000 is an apocalyptic number.

8082000 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 8082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145300).

8082000 is an abundant number, since it is smaller than the sum of its proper divisors (20208600).

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

8082000 is a wasteful number, since it uses less digits than its factorization.

8082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8082000 is about 2842.8858577157. The cubic root of 8082000 is about 200.6810118159.

Adding to 8082000 its reverse (2808), we get a palindrome (8084808).

The spelling of 8082000 in words is "eight million, eighty-two thousand".