8380320 has 192 divisors, whose sum is σ = 30481920. Its totient is φ = 1916928.

The previous prime is 8380291. The next prime is 8380321. The reversal of 8380320 is 230838.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8380321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106041 + ... + 106119.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^8380320 is an apocalyptic number.

8380320 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 8380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

8380320 is an abundant number, since it is smaller than the sum of its proper divisors (22101600).

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

8380320 is a wasteful number, since it uses less digits than its factorization.

8380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8380320 is about 2894.8782357813. The cubic root of 8380320 is about 203.1203957931.

The spelling of 8380320 in words is "eight million, three hundred eighty thousand, three hundred twenty".