7830000 has 200 divisors, whose sum is σ = 29053200. Its totient is φ = 2016000.

The previous prime is 7829963. The next prime is 7830007. The reversal of 7830000 is 387.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×7830000² = 122617800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269986 + ... + 270014.

It is an arithmetic number, because the mean of its divisors is an integer number (145266).

Almost surely, 2^7830000 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 7830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526600).

7830000 is an abundant number, since it is smaller than the sum of its proper divisors (21223200).

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

7830000 is a wasteful number, since it uses less digits than its factorization.

7830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7830000 is about 2798.2137159266. The cubic root of 7830000 is about 198.5731784408.

Adding to 7830000 its reverse (387), we get a palindrome (7830387).

The spelling of 7830000 in words is "seven million, eight hundred thirty thousand".