7834400 has 72 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 2684160.

The previous prime is 7834381. The next prime is 7834427. The reversal of 7834400 is 44387.

It is a Cunningham number, because it is equal to 2799²-1.

It is a super-2 number, since 2×7834400² = 122755646720000, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7834400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4901 + ... + 6299.

It is an arithmetic number, because the mean of its divisors is an integer number (303800).

Almost surely, 2^7834400 is an apocalyptic number.

7834400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

7834400 is an abundant number, since it is smaller than the sum of its proper divisors (14039200).

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

7834400 is a wasteful number, since it uses less digits than its factorization.

7834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 7834400 is about 2798.9998213648. Note that the first 3 decimals coincide. The cubic root of 7834400 is about 198.6103669625.

Adding to 7834400 its reverse (44387), we get a palindrome (7878787).

The spelling of 7834400 in words is "seven million, eight hundred thirty-four thousand, four hundred".