8085881600 has 216 divisors, whose sum is σ = 20617378320. Its totient is φ = 3138600960.

The previous prime is 8085881563. The next prime is 8085881603. The reversal of 8085881600 is 61885808.

It is not an unprimeable number, because it can be changed into a prime (8085881603) 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, 46739114 + ... + 46739286.

Almost surely, 2^8085881600 is an apocalyptic number.

8085881600 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 8085881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308689160).

8085881600 is an abundant number, since it is smaller than the sum of its proper divisors (12531496720).

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

8085881600 is a wasteful number, since it uses less digits than its factorization.

8085881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 44.

The square root of 8085881600 is about 89921.5302360897. The cubic root of 8085881600 is about 2007.1313417597.

The spelling of 8085881600 in words is "eight billion, eighty-five million, eight hundred eighty-one thousand, six hundred".