8089819920 has 960 divisors, whose sum is σ = 36852641280. Its totient is φ = 1600487424.

The previous prime is 8089819919. The next prime is 8089819931. The reversal of 8089819920 is 299189808.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30073546 + ... + 30073814.

It is an arithmetic number, because the mean of its divisors is an integer number (38388168).

Almost surely, 2^8089819920 is an apocalyptic number.

8089819920 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 8089819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426320640).

8089819920 is an abundant number, since it is smaller than the sum of its proper divisors (28762821360).

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

8089819920 is a wasteful number, since it uses less digits than its factorization.

8089819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 8089819920 is about 89943.4262189294. The cubic root of 8089819920 is about 2007.4571542018.

The spelling of 8089819920 in words is "eight billion, eighty-nine million, eight hundred nineteen thousand, nine hundred twenty".