8803681920 has 768 divisors, whose sum is σ = 35744716800. Its totient is φ = 1974067200.

The previous prime is 8803681903. The next prime is 8803681967. The reversal of 8803681920 is 291863088.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85472589 + ... + 85472691.

It is an arithmetic number, because the mean of its divisors is an integer number (46542600).

Almost surely, 2^8803681920 is an apocalyptic number.

8803681920 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 8803681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872358400).

8803681920 is an abundant number, since it is smaller than the sum of its proper divisors (26941034880).

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

8803681920 is a wasteful number, since it uses less digits than its factorization.

8803681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8803681920 is about 93827.9378436934. The cubic root of 8803681920 is about 2064.8481280979.

It can be divided in two parts, 880368 and 1920, that added together give a palindrome (882288).

The spelling of 8803681920 in words is "eight billion, eight hundred three million, six hundred eighty-one thousand, nine hundred twenty".