8380120 has 48 divisors (see below), whose sum is σ = 21674160. Its totient is φ = 2856576.

The previous prime is 8380111. The next prime is 8380123. The reversal of 8380120 is 210838.

It is a super-2 number, since 2×8380120² = 140452822428800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8380091 and 8380100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48354 + ... + 48526.

It is an arithmetic number, because the mean of its divisors is an integer number (451545).

Almost surely, 2^8380120 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 8380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10837080).

8380120 is an abundant number, since it is smaller than the sum of its proper divisors (13294040).

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

8380120 is a wasteful number, since it uses less digits than its factorization.

8380120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8380120 is about 2894.8436918079. The cubic root of 8380120 is about 203.1187799279.

Adding to 8380120 its reverse (210838), we get a palindrome (8590958).

The spelling of 8380120 in words is "eight million, three hundred eighty thousand, one hundred twenty".