8399093760 has 264 divisors, whose sum is σ = 29444007060. Its totient is φ = 2214592512.

The previous prime is 8399093753. The next prime is 8399093789. The reversal of 8399093760 is 673909938.

It can be written as a sum of positive squares in 2 ways, for example, as 7936671744 + 462422016 = 89088^2 + 21504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8399093697 and 8399093706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94371796 + ... + 94371884.

Almost surely, 2^8399093760 is an apocalyptic number.

8399093760 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 8399093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722003530).

8399093760 is an abundant number, since it is smaller than the sum of its proper divisors (21044913300).

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

8399093760 is an frugal number, since it uses more digits than its factorization.

8399093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 8399093760 is about 91646.5698212432. The cubic root of 8399093760 is about 2032.7196079027.

The spelling of 8399093760 in words is "eight billion, three hundred ninety-nine million, ninety-three thousand, seven hundred sixty".