8206812900 has 864 divisors, whose sum is σ = 33303868416. Its totient is φ = 1672704000.

The previous prime is 8206812881. The next prime is 8206812907. The reversal of 8206812900 is 92186028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8206812907) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 264735885 + ... + 264735915.

It is an arithmetic number, because the mean of its divisors is an integer number (38546144).

Almost surely, 2^8206812900 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 8206812900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651934208).

8206812900 is an abundant number, since it is smaller than the sum of its proper divisors (25097055516).

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

8206812900 is a wasteful number, since it uses less digits than its factorization.

8206812900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8206812900 is about 90591.4615181806. The cubic root of 8206812900 is about 2017.0879927776.

Adding to 8206812900 its reverse (92186028), we get a palindrome (8298998928).

The spelling of 8206812900 in words is "eight billion, two hundred six million, eight hundred twelve thousand, nine hundred".