8395857760 has 96 divisors (see below), whose sum is σ = 20013134400. Its totient is φ = 3328376832.

The previous prime is 8395857713. The next prime is 8395857803. The reversal of 8395857760 is 677585938.

It is a junction number, because it is equal to n+sod(n) for n = 8395857695 and 8395857704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14550592 + ... + 14551168.

It is an arithmetic number, because the mean of its divisors is an integer number (208470150).

Almost surely, 2^8395857760 is an apocalyptic number.

8395857760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8395857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006567200).

8395857760 is an abundant number, since it is smaller than the sum of its proper divisors (11617276640).

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

8395857760 is a wasteful number, since it uses less digits than its factorization.

8395857760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The square root of 8395857760 is about 91628.9133407136. The cubic root of 8395857760 is about 2032.4585191950.

The spelling of 8395857760 in words is "eight billion, three hundred ninety-five million, eight hundred fifty-seven thousand, seven hundred sixty".