8784097920 has 256 divisors, whose sum is σ = 33504307200. Its totient is φ = 2162184192.

The previous prime is 8784097909. The next prime is 8784097951. The reversal of 8784097920 is 297904878.

It is a super-3 number, since 3×8784097920³ (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 205089 + ... + 244191.

It is an arithmetic number, because the mean of its divisors is an integer number (130876200).

Almost surely, 2^8784097920 is an apocalyptic number.

8784097920 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 8784097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752153600).

8784097920 is an abundant number, since it is smaller than the sum of its proper divisors (24720209280).

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

8784097920 is a wasteful number, since it uses less digits than its factorization.

8784097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39144 (or 39126 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8784097920 is about 93723.5184998941. The cubic root of 8784097920 is about 2063.3158900977.

The spelling of 8784097920 in words is "eight billion, seven hundred eighty-four million, ninety-seven thousand, nine hundred twenty".