8307319680 has 192 divisors, whose sum is σ = 31294289520. Its totient is φ = 2013880320.

The previous prime is 8307319679. The next prime is 8307319703. The reversal of 8307319680 is 869137038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2197 + ... + 128916.

Almost surely, 2^8307319680 is an apocalyptic number.

8307319680 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 8307319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647144760).

8307319680 is an abundant number, since it is smaller than the sum of its proper divisors (22986969840).

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

8307319680 is a wasteful number, since it uses less digits than its factorization.

8307319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131149 (or 131134 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8307319680 is about 91144.4989014696. The cubic root of 8307319680 is about 2025.2888623132.

The spelling of 8307319680 in words is "eight billion, three hundred seven million, three hundred nineteen thousand, six hundred eighty".