7875237888 has 288 divisors, whose sum is σ = 26411374080. Its totient is φ = 2214051840.

The previous prime is 7875237847. The next prime is 7875237889. The reversal of 7875237888 is 8887325787.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7875237889) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8644153 + ... + 8645063.

It is an arithmetic number, because the mean of its divisors is an integer number (91706160).

Almost surely, 2^7875237888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7875237888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205687040).

7875237888 is an abundant number, since it is smaller than the sum of its proper divisors (18536136192).

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

7875237888 is a wasteful number, since it uses less digits than its factorization.

7875237888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 990 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 63.

The square root of 7875237888 is about 88742.5370834078. The cubic root of 7875237888 is about 1989.5486369732.

The spelling of 7875237888 in words is "seven billion, eight hundred seventy-five million, two hundred thirty-seven thousand, eight hundred eighty-eight".