8920800000 has 864 divisors, whose sum is σ = 38322547200. Its totient is φ = 2004480000.

The previous prime is 8920799983. The next prime is 8920800037. The reversal of 8920800000 is 80298.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 151199971 + ... + 151200029.

It is an arithmetic number, because the mean of its divisors is an integer number (44354800).

Almost surely, 2^8920800000 is an apocalyptic number.

8920800000 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 8920800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19161273600).

8920800000 is an abundant number, since it is smaller than the sum of its proper divisors (29401747200).

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

8920800000 is an frugal number, since it uses more digits than its factorization.

8920800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8920800000 is about 94449.9867654835. The cubic root of 8920800000 is about 2073.9642578541.

Adding to 8920800000 its reverse (80298), we get a palindrome (8920880298).

The spelling of 8920800000 in words is "eight billion, nine hundred twenty million, eight hundred thousand".