8202124800 has 480 divisors, whose sum is σ = 30581480160. Its totient is φ = 2179768320.

The previous prime is 8202124787. The next prime is 8202124807. The reversal of 8202124800 is 84212028.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8202124807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27993454 + ... + 27993746.

It is an arithmetic number, because the mean of its divisors is an integer number (63711417).

Almost surely, 2^8202124800 is an apocalyptic number.

8202124800 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 8202124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290740080).

8202124800 is an abundant number, since it is smaller than the sum of its proper divisors (22379355360).

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

8202124800 is an frugal number, since it uses more digits than its factorization.

8202124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8202124800 is about 90565.5828667822. The cubic root of 8202124800 is about 2016.7038358774.

Adding to 8202124800 its reverse (84212028), we get a palindrome (8286336828).

The spelling of 8202124800 in words is "eight billion, two hundred two million, one hundred twenty-four thousand, eight hundred".