8380958760 has 128 divisors (see below), whose sum is σ = 27975456000. Its totient is φ = 2231808768.

The previous prime is 8380958749. The next prime is 8380958797. The reversal of 8380958760 is 678590838.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 8380958697 and 8380958706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829821 + ... + 839859.

It is an arithmetic number, because the mean of its divisors is an integer number (218558250).

Almost surely, 2^8380958760 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 8380958760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987728000).

8380958760 is an abundant number, since it is smaller than the sum of its proper divisors (19594497240).

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

8380958760 is a wasteful number, since it uses less digits than its factorization.

8380958760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10832 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8380958760 is about 91547.5764834875. The cubic root of 8380958760 is about 2031.2555637118.

The spelling of 8380958760 in words is "eight billion, three hundred eighty million, nine hundred fifty-eight thousand, seven hundred sixty".