8713123200 has 576 divisors, whose sum is σ = 32733529920. Its totient is φ = 2204467200.

The previous prime is 8713123193. The next prime is 8713123201. The reversal of 8713123200 is 23213178.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8713123201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55497522 + ... + 55497678.

It is an arithmetic number, because the mean of its divisors is an integer number (56829045).

Almost surely, 2^8713123200 is an apocalyptic number.

8713123200 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 8713123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366764960).

8713123200 is an abundant number, since it is smaller than the sum of its proper divisors (24020406720).

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

8713123200 is a wasteful number, since it uses less digits than its factorization.

8713123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8713123200 is about 93344.1117585893. Note that the first 3 decimals coincide. The cubic root of 8713123200 is about 2057.7437199819.

Adding to 8713123200 its reverse (23213178), we get a palindrome (8736336378).

The spelling of 8713123200 in words is "eight billion, seven hundred thirteen million, one hundred twenty-three thousand, two hundred".