8117712000 has 1024 divisors, whose sum is σ = 33606144000. Its totient is φ = 1916006400.

The previous prime is 8117711999. The next prime is 8117712017. The reversal of 8117712000 is 2177118.

It is a super-2 number, since 2×8117712000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188783979 + ... + 188784021.

It is an arithmetic number, because the mean of its divisors is an integer number (32818500).

Almost surely, 2^8117712000 is an apocalyptic number.

8117712000 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 8117712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803072000).

8117712000 is an abundant number, since it is smaller than the sum of its proper divisors (25488432000).

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

8117712000 is a wasteful number, since it uses less digits than its factorization.

8117712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 8117712000 is about 90098.3462667323. The cubic root of 8117712000 is about 2009.7616112913.

Adding to 8117712000 its reverse (2177118), we get a palindrome (8119889118).

The spelling of 8117712000 in words is "eight billion, one hundred seventeen million, seven hundred twelve thousand".