7938400 has 36 divisors (see below), whose sum is σ = 19381572. Its totient is φ = 3175040.

The previous prime is 7938397. The next prime is 7938407. The reversal of 7938400 is 48397.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7938407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4162 + ... + 5761.

It is an arithmetic number, because the mean of its divisors is an integer number (538377).

Almost surely, 2^7938400 is an apocalyptic number.

It is an amenable number.

7938400 is an abundant number, since it is smaller than the sum of its proper divisors (11443172).

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

7938400 is a wasteful number, since it uses less digits than its factorization.

7938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 7938400 is about 2817.5166370405. The cubic root of 7938400 is about 199.4853434458.

It can be divided in two parts, 7938 and 400, that added together give a palindrome (8338).

The spelling of 7938400 in words is "seven million, nine hundred thirty-eight thousand, four hundred".