7923200 has 60 divisors (see below), whose sum is σ = 19662060. Its totient is φ = 3164160.

The previous prime is 7923199. The next prime is 7923211. The reversal of 7923200 is 23297.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12491 + ... + 13109.

It is an arithmetic number, because the mean of its divisors is an integer number (327701).

Almost surely, 2^7923200 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 7923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9831030).

7923200 is an abundant number, since it is smaller than the sum of its proper divisors (11738860).

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

7923200 is an equidigital number, since it uses as much as digits as its factorization.

7923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 7923200 is about 2814.8179337215. The cubic root of 7923200 is about 199.3579410069.

Adding to 7923200 its reverse (23297), we get a palindrome (7946497).

The spelling of 7923200 in words is "seven million, nine hundred twenty-three thousand, two hundred".