7730400 has 72 divisors (see below), whose sum is σ = 25170264. Its totient is φ = 2060800.

The previous prime is 7730383. The next prime is 7730413. The reversal of 7730400 is 40377.

It is a congruent number.

It is an unprimeable number.

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, 790 + ... + 4010.

It is an arithmetic number, because the mean of its divisors is an integer number (349587).

Almost surely, 2^7730400 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 7730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585132).

7730400 is an abundant number, since it is smaller than the sum of its proper divisors (17439864).

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

7730400 is a wasteful number, since it uses less digits than its factorization.

7730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 7730400 is about 2780.3596889611. The cubic root of 7730400 is about 197.7276123897.

Adding to 7730400 its reverse (40377), we get a palindrome (7770777).

The spelling of 7730400 in words is "seven million, seven hundred thirty thousand, four hundred".