8117881200 has 540 divisors, whose sum is σ = 33305638392. Its totient is φ = 1815091200.

The previous prime is 8117881183. The next prime is 8117881207. The reversal of 8117881200 is 21887118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8117881207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6691794 + ... + 6693006.

Almost surely, 2^8117881200 is an apocalyptic number.

8117881200 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 8117881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652819196).

8117881200 is an abundant number, since it is smaller than the sum of its proper divisors (25187757192).

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

8117881200 is a wasteful number, since it uses less digits than its factorization.

8117881200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 8117881200 is about 90099.2852357886. The cubic root of 8117881200 is about 2009.7755745567.

The spelling of 8117881200 in words is "eight billion, one hundred seventeen million, eight hundred eighty-one thousand, two hundred".