8204198400 has 600 divisors, whose sum is σ = 31266100404. Its totient is φ = 2123366400.

The previous prime is 8204198399. The next prime is 8204198467. The reversal of 8204198400 is 48914028.

It can be written as a sum of positive squares in 6 ways, for example, as 412252416 + 7791945984 = 20304^2 + 88272^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 59 ways as a sum of consecutive naturals, for example, 42508704 + ... + 42508896.

Almost surely, 2^8204198400 is an apocalyptic number.

8204198400 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 8204198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633050202).

8204198400 is an abundant number, since it is smaller than the sum of its proper divisors (23061902004).

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

8204198400 is a wasteful number, since it uses less digits than its factorization.

8204198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8204198400 is about 90577.0302008186. The cubic root of 8204198400 is about 2016.8737708970.

The spelling of 8204198400 in words is "eight billion, two hundred four million, one hundred ninety-eight thousand, four hundred".