7840000 has 135 divisors (see below), whose sum is σ = 22748187. Its totient is φ = 2688000.

The previous prime is 7839961. The next prime is 7840013. The reversal of 7840000 is 487.

It is a happy number.

The square root of 7840000 is 2800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 7225344 = 784^2 + 2688^2 .

It is a super-2 number, since 2×7840000² = 122931200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7840000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1119997 + ... + 1120003.

Almost surely, 2^7840000 is an apocalyptic number.

7840000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7840000 is the 2800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7840000

7840000 is an abundant number, since it is smaller than the sum of its proper divisors (14908187).

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

7840000 is an frugal number, since it uses more digits than its factorization.

7840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The cubic root of 7840000 is about 198.6576776759.

Adding to 7840000 its reverse (487), we get a palindrome (7840487).

The spelling of 7840000 in words is "seven million, eight hundred forty thousand".