7839978120 has 256 divisors, whose sum is σ = 29052979200. Its totient is φ = 1867484160.

The previous prime is 7839978101. The next prime is 7839978131. The reversal of 7839978120 is 218799387.

It is a super-2 number, since 2×7839978120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426234 + ... + 444246.

It is an arithmetic number, because the mean of its divisors is an integer number (113488200).

Almost surely, 2^7839978120 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 7839978120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526489600).

7839978120 is an abundant number, since it is smaller than the sum of its proper divisors (21213001080).

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

7839978120 is a wasteful number, since it uses less digits than its factorization.

7839978120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18077 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 7839978120 is about 88543.6509299227. The cubic root of 7839978120 is about 1986.5749286999.

The spelling of 7839978120 in words is "seven billion, eight hundred thirty-nine million, nine hundred seventy-eight thousand, one hundred twenty".