8009883882 has 192 divisors, whose sum is σ = 24326870400. Its totient is φ = 1920360960.

The previous prime is 8009883859. The next prime is 8009883887. The reversal of 8009883882 is 2883889008.

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 (8009883887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367794 + ... + 388962.

It is an arithmetic number, because the mean of its divisors is an integer number (126702450).

Almost surely, 2^8009883882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8009883882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163435200).

8009883882 is an abundant number, since it is smaller than the sum of its proper divisors (16316986518).

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

8009883882 is a wasteful number, since it uses less digits than its factorization.

8009883882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21218 (or 21205 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 8009883882 is about 89497.9546246728. The cubic root of 8009883882 is about 2000.8233178607.

The spelling of 8009883882 in words is "eight billion, nine million, eight hundred eighty-three thousand, eight hundred eighty-two".