7838720 has 44 divisors (see below), whose sum is σ = 18816024. Its totient is φ = 3133440.

The previous prime is 7838689. The next prime is 7838723. The reversal of 7838720 is 278387.

It is a happy number.

It is a super-2 number, since 2×7838720² = 122891062476800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7838723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4355 + ... + 5885.

Almost surely, 2^7838720 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 7838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408012).

7838720 is an abundant number, since it is smaller than the sum of its proper divisors (10977304).

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

7838720 is a wasteful number, since it uses less digits than its factorization.

7838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 7838720 is about 2799.7714192412. The cubic root of 7838720 is about 198.6468657852.

It can be divided in two parts, 7838 and 720, that added together give a palindrome (8558).

The spelling of 7838720 in words is "seven million, eight hundred thirty-eight thousand, seven hundred twenty".