8229196800 has 792 divisors, whose sum is σ = 34211953152. Its totient is φ = 1867776000.

The previous prime is 8229196793. The next prime is 8229196883. The reversal of 8229196800 is 86919228.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43084705 + ... + 43084895.

Almost surely, 2^8229196800 is an apocalyptic number.

8229196800 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 8229196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17105976576).

8229196800 is an abundant number, since it is smaller than the sum of its proper divisors (25982756352).

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

8229196800 is a wasteful number, since it uses less digits than its factorization.

8229196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8229196800 is about 90714.9204927172. The cubic root of 8229196800 is about 2018.9201822747.

The spelling of 8229196800 in words is "eight billion, two hundred twenty-nine million, one hundred ninety-six thousand, eight hundred".