7878385920 has 288 divisors, whose sum is σ = 26225337600. Its totient is φ = 2013233152.

The previous prime is 7878385901. The next prime is 7878385961. The reversal of 7878385920 is 295838787.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29287546 + ... + 29287814.

It is an arithmetic number, because the mean of its divisors is an integer number (91060200).

Almost surely, 2^7878385920 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 7878385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112668800).

7878385920 is an abundant number, since it is smaller than the sum of its proper divisors (18346951680).

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

7878385920 is a wasteful number, since it uses less digits than its factorization.

7878385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The square root of 7878385920 is about 88760.2721942649. The cubic root of 7878385920 is about 1989.8137010685.

The spelling of 7878385920 in words is "seven billion, eight hundred seventy-eight million, three hundred eighty-five thousand, nine hundred twenty".