7938867888 has 240 divisors, whose sum is σ = 27904464000. Its totient is φ = 2148757632.

The previous prime is 7938867883. The next prime is 7938867941. The reversal of 7938867888 is 8887688397.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7938867883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392323 + ... + 412061.

It is an arithmetic number, because the mean of its divisors is an integer number (116268600).

Almost surely, 2^7938867888 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 7938867888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952232000).

7938867888 is an abundant number, since it is smaller than the sum of its proper divisors (19965596112).

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

7938867888 is a wasteful number, since it uses less digits than its factorization.

7938867888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19789 (or 19770 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The square root of 7938867888 is about 89100.3248478927. The cubic root of 7938867888 is about 1994.8926258000.

It can be divided in two parts, 7938 and 867888, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 7938867888 in words is "seven billion, nine hundred thirty-eight million, eight hundred sixty-seven thousand, eight hundred eighty-eight".