7938720 has 144 divisors (see below), whose sum is σ = 28009800. Its totient is φ = 2045952.

The previous prime is 7938649. The next prime is 7938727. The reversal of 7938720 is 278397.

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 1527696 = 2532^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7938727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53206 + ... + 53354.

Almost surely, 2^7938720 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 7938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004900).

7938720 is an abundant number, since it is smaller than the sum of its proper divisors (20071080).

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

7938720 is a wasteful number, since it uses less digits than its factorization.

7938720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7938720 is about 2817.5734240655. The cubic root of 7938720 is about 199.4880238538.

The spelling of 7938720 in words is "seven million, nine hundred thirty-eight thousand, seven hundred twenty".