8198107200 has 630 divisors, whose sum is σ = 32438415438. Its totient is φ = 2023833600.

The previous prime is 8198107133. The next prime is 8198107223. The reversal of 8198107200 is 27018918.

It can be written as a sum of positive squares in 9 ways, for example, as 5737153536 + 2460953664 = 75744^2 + 49608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 134395170 + ... + 134395230.

Almost surely, 2^8198107200 is an apocalyptic number.

8198107200 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 8198107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219207719).

8198107200 is an abundant number, since it is smaller than the sum of its proper divisors (24240308238).

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

8198107200 is a wasteful number, since it uses less digits than its factorization.

8198107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 8198107200 is about 90543.3995385638. The cubic root of 8198107200 is about 2016.3745052551.

The spelling of 8198107200 in words is "eight billion, one hundred ninety-eight million, one hundred seven thousand, two hundred".