7830720 has 84 divisors (see below), whose sum is σ = 26944320. Its totient is φ = 2087424.

The previous prime is 7830707. The next prime is 7830721. The reversal of 7830720 is 270387.

It is a super-2 number, since 2×7830720² = 122640351436800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7830721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1521 + ... + 4239.

Almost surely, 2^7830720 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 7830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472160).

7830720 is an abundant number, since it is smaller than the sum of its proper divisors (19113600).

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

7830720 is a wasteful number, since it uses less digits than its factorization.

7830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7830720 is about 2798.3423664734. The cubic root of 7830720 is about 198.5792647884.

The spelling of 7830720 in words is "seven million, eight hundred thirty thousand, seven hundred twenty".