7830540 has 96 divisors (see below), whose sum is σ = 25824960. Its totient is φ = 1963008.

The previous prime is 7830521. The next prime is 7830547. The reversal of 7830540 is 450387.

It is a super-2 number, since 2×7830540² = 122634713383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7830547) 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 31 ways as a sum of consecutive naturals, for example, 8754 + ... + 9606.

It is an arithmetic number, because the mean of its divisors is an integer number (269010).

Almost surely, 2^7830540 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 7830540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912480).

7830540 is an abundant number, since it is smaller than the sum of its proper divisors (17994420).

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

7830540 is a wasteful number, since it uses less digits than its factorization.

7830540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7830540 is about 2798.3102043912. The cubic root of 7830540 is about 198.5777432365.

The spelling of 7830540 in words is "seven million, eight hundred thirty thousand, five hundred forty".