8738876240 has 160 divisors (see below), whose sum is σ = 21654864000. Its totient is φ = 3273984000.

The previous prime is 8738876213. The next prime is 8738876257. The reversal of 8738876240 is 426788378.

It is a congruent number.

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, 25039586 + ... + 25039934.

It is an arithmetic number, because the mean of its divisors is an integer number (135342900).

Almost surely, 2^8738876240 is an apocalyptic number.

8738876240 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 8738876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827432000).

8738876240 is an abundant number, since it is smaller than the sum of its proper divisors (12915987760).

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

8738876240 is a wasteful number, since it uses less digits than its factorization.

8738876240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The square root of 8738876240 is about 93481.9567617195. The cubic root of 8738876240 is about 2059.7690569645.

The spelling of 8738876240 in words is "eight billion, seven hundred thirty-eight million, eight hundred seventy-six thousand, two hundred forty".