8085990880 has 96 divisors (see below), whose sum is σ = 20945433600. Its totient is φ = 2925457920.

The previous prime is 8085990839. The next prime is 8085990881. The reversal of 8085990880 is 880995808.

It is a super-2 number, since 2×8085990880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8085990881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338697 + ... + 361783.

It is an arithmetic number, because the mean of its divisors is an integer number (218181600).

Almost surely, 2^8085990880 is an apocalyptic number.

8085990880 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 8085990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472716800).

8085990880 is an abundant number, since it is smaller than the sum of its proper divisors (12859442720).

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

8085990880 is a wasteful number, since it uses less digits than its factorization.

8085990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312 (or 23304 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 55.

The square root of 8085990880 is about 89922.1378749416. The cubic root of 8085990880 is about 2007.1403837886.

The spelling of 8085990880 in words is "eight billion, eighty-five million, nine hundred ninety thousand, eight hundred eighty".