8202000 has 80 divisors (see below), whose sum is σ = 26462592. Its totient is φ = 2185600.

The previous prime is 8201989. The next prime is 8202013. The reversal of 8202000 is 2028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

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 15 ways as a sum of consecutive naturals, for example, 5317 + ... + 6683.

Almost surely, 2^8202000 is an apocalyptic number.

8202000 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 8202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231296).

8202000 is an abundant number, since it is smaller than the sum of its proper divisors (18260592).

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

8202000 is a wasteful number, since it uses less digits than its factorization.

8202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 8202000 is about 2863.9134065121. The cubic root of 8202000 is about 201.6693607393.

Adding to 8202000 its reverse (2028), we get a palindrome (8204028).

The spelling of 8202000 in words is "eight million, two hundred two thousand".