7938120 has 64 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 2088704.

The previous prime is 7938109. The next prime is 7938121. The reversal of 7938120 is 218397.

It is a happy number.

7938120 is a nontrivial binomial coefficient, being equal to C(3985, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7938121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9562 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^7938120 is an apocalyptic number.

7938120 is the 3984-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7938120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

7938120 is an abundant number, since it is smaller than the sum of its proper divisors (16193400).

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

7938120 is a wasteful number, since it uses less digits than its factorization.

7938120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7938120 is about 2817.4669474548. The cubic root of 7938120 is about 199.4829980297.

It can be divided in two parts, 79381 and 20, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 7938120 in words is "seven million, nine hundred thirty-eight thousand, one hundred twenty".