8083885920 has 384 divisors, whose sum is σ = 29743096320. Its totient is φ = 1824768000.

The previous prime is 8083885907. The next prime is 8083885933. The reversal of 8083885920 is 295883808.

It is an interprime number because it is at equal distance from previous prime (8083885907) and next prime (8083885933).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6118860 + ... + 6120180.

It is an arithmetic number, because the mean of its divisors is an integer number (77455980).

Almost surely, 2^8083885920 is an apocalyptic number.

8083885920 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 8083885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871548160).

8083885920 is an abundant number, since it is smaller than the sum of its proper divisors (21659210400).

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

8083885920 is a wasteful number, since it uses less digits than its factorization.

8083885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 8083885920 is about 89910.4327650579. The cubic root of 8083885920 is about 2006.9662011826.

The spelling of 8083885920 in words is "eight billion, eighty-three million, eight hundred eighty-five thousand, nine hundred twenty".