7838978880 has 112 divisors (see below), whose sum is σ = 24968240640. Its totient is φ = 2083719168.

The previous prime is 7838978879. The next prime is 7838978881. The reversal of 7838978880 is 888798387.

It is an interprime number because it is at equal distance from previous prime (7838978879) and next prime (7838978881).

It is a super-2 number, since 2×7838978880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7838978881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291441 + ... + 317199.

It is an arithmetic number, because the mean of its divisors is an integer number (222930720).

Almost surely, 2^7838978880 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 7838978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484120320).

7838978880 is an abundant number, since it is smaller than the sum of its proper divisors (17129261760).

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

7838978880 is a wasteful number, since it uses less digits than its factorization.

7838978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26096 (or 26086 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 66.

The square root of 7838978880 is about 88538.0081095119. The cubic root of 7838978880 is about 1986.4905258507.

The spelling of 7838978880 in words is "seven billion, eight hundred thirty-eight million, nine hundred seventy-eight thousand, eight hundred eighty".