8102000 has 40 divisors (see below), whose sum is σ = 19595472. Its totient is φ = 3240000.

The previous prime is 8101997. The next prime is 8102009. The reversal of 8102000 is 2018.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26 + ... + 4025.

Almost surely, 2^8102000 is an apocalyptic number.

8102000 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 8102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797736).

8102000 is an abundant number, since it is smaller than the sum of its proper divisors (11493472).

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

8102000 is a wasteful number, since it uses less digits than its factorization.

8102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8102000 is about 2846.4012366495. The cubic root of 8102000 is about 200.8464128731.

Adding to 8102000 its reverse (2018), we get a palindrome (8104018).

The spelling of 8102000 in words is "eight million, one hundred two thousand".