8106800 has 60 divisors (see below), whose sum is σ = 20988240. Its totient is φ = 2991360.

The previous prime is 8106797. The next prime is 8106803. The reversal of 8106800 is 86018.

It is an interprime number because it is at equal distance from previous prime (8106797) and next prime (8106803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8106803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4421 + ... + 5979.

It is an arithmetic number, because the mean of its divisors is an integer number (349804).

Almost surely, 2^8106800 is an apocalyptic number.

8106800 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 8106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

8106800 is an abundant number, since it is smaller than the sum of its proper divisors (12881440).

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

8106800 is a wasteful number, since it uses less digits than its factorization.

8106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8106800 is about 2847.2442817574. The cubic root of 8106800 is about 200.8860686148.

The spelling of 8106800 in words is "eight million, one hundred six thousand, eight hundred".