8753978240 has 256 divisors, whose sum is σ = 24624138240. Its totient is φ = 2914099200.

The previous prime is 8753978239. The next prime is 8753978291. The reversal of 8753978240 is 428793578.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28147685 + ... + 28147995.

It is an arithmetic number, because the mean of its divisors is an integer number (96188040).

Almost surely, 2^8753978240 is an apocalyptic number.

8753978240 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 8753978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312069120).

8753978240 is an abundant number, since it is smaller than the sum of its proper divisors (15870160000).

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

8753978240 is a wasteful number, since it uses less digits than its factorization.

8753978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The square root of 8753978240 is about 93562.6968401403. The cubic root of 8753978240 is about 2060.9548971022.

The spelling of 8753978240 in words is "eight billion, seven hundred fifty-three million, nine hundred seventy-eight thousand, two hundred forty".