8205986880 has 1120 divisors, whose sum is σ = 37175846400. Its totient is φ = 1706987520.

The previous prime is 8205986837. The next prime is 8205986881. The reversal of 8205986880 is 886895028.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8205986881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 115577245 + ... + 115577315.

It is an arithmetic number, because the mean of its divisors is an integer number (33192720).

Almost surely, 2^8205986880 is an apocalyptic number.

8205986880 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 8205986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18587923200).

8205986880 is an abundant number, since it is smaller than the sum of its proper divisors (28969859520).

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

8205986880 is a wasteful number, since it uses less digits than its factorization.

8205986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 8205986880 is about 90586.9023645251. The cubic root of 8205986880 is about 2017.0203168541.

The spelling of 8205986880 in words is "eight billion, two hundred five million, nine hundred eighty-six thousand, eight hundred eighty".