8229799600 has 120 divisors (see below), whose sum is σ = 21607277760. Its totient is φ = 2987424000.

The previous prime is 8229799573. The next prime is 8229799607. The reversal of 8229799600 is 69979228.

It is not an unprimeable number, because it can be changed into a prime (8229799607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3250335 + ... + 3252865.

It is an arithmetic number, because the mean of its divisors is an integer number (180060648).

Almost surely, 2^8229799600 is an apocalyptic number.

8229799600 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 8229799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10803638880).

8229799600 is an abundant number, since it is smaller than the sum of its proper divisors (13377478160).

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

8229799600 is a wasteful number, since it uses less digits than its factorization.

8229799600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The square root of 8229799600 is about 90718.2429283107. The cubic root of 8229799600 is about 2018.9694772991.

The spelling of 8229799600 in words is "eight billion, two hundred twenty-nine million, seven hundred ninety-nine thousand, six hundred".