8758794240 has 288 divisors, whose sum is σ = 34695591840. Its totient is φ = 2001862656.

The previous prime is 8758794221. The next prime is 8758794241. The reversal of 8758794240 is 424978578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8758794241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638332 + ... + 651908.

It is an arithmetic number, because the mean of its divisors is an integer number (120470805).

Almost surely, 2^8758794240 is an apocalyptic number.

8758794240 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 8758794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17347795920).

8758794240 is an abundant number, since it is smaller than the sum of its proper divisors (25936797600).

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

8758794240 is a wasteful number, since it uses less digits than its factorization.

8758794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13617 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 8758794240 is about 93588.4300541472. The cubic root of 8758794240 is about 2061.3327725050.

The spelling of 8758794240 in words is "eight billion, seven hundred fifty-eight million, seven hundred ninety-four thousand, two hundred forty".