7886848320 has 336 divisors, whose sum is σ = 30754563840. Its totient is φ = 1839034368.

The previous prime is 7886848309. The next prime is 7886848337. The reversal of 7886848320 is 238486887.

7886848320 is a `hidden beast` number, since 7 + 88 + 68 + 483 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705817 + ... + 716903.

It is an arithmetic number, because the mean of its divisors is an integer number (91531440).

Almost surely, 2^7886848320 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 7886848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377281920).

7886848320 is an abundant number, since it is smaller than the sum of its proper divisors (22867715520).

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

7886848320 is a wasteful number, since it uses less digits than its factorization.

7886848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11142 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 7886848320 is about 88807.9293757038. The cubic root of 7886848320 is about 1990.5258847691.

The spelling of 7886848320 in words is "seven billion, eight hundred eighty-six million, eight hundred forty-eight thousand, three hundred twenty".