8204011200 has 1008 divisors, whose sum is σ = 37341657600. Its totient is φ = 1693440000.

The previous prime is 8204011199. The next prime is 8204011229. The reversal of 8204011200 is 21104028.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54331125 + ... + 54331275.

Almost surely, 2^8204011200 is an apocalyptic number.

8204011200 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 8204011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670828800).

8204011200 is an abundant number, since it is smaller than the sum of its proper divisors (29137646400).

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

8204011200 is a wasteful number, since it uses less digits than its factorization.

8204011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8204011200 is about 90575.9968203497. The cubic root of 8204011200 is about 2016.8584307170.

Adding to 8204011200 its reverse (21104028), we get a palindrome (8225115228).

The spelling of 8204011200 in words is "eight billion, two hundred four million, eleven thousand, two hundred".