7930400 has 72 divisors (see below), whose sum is σ = 20248704. Its totient is φ = 3027200.

The previous prime is 7930399. The next prime is 7930409. The reversal of 7930400 is 40397.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (7930409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18185 + ... + 18615.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^7930400 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 7930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352).

7930400 is an abundant number, since it is smaller than the sum of its proper divisors (12318304).

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

7930400 is a wasteful number, since it uses less digits than its factorization.

7930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

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

The square root of 7930400 is about 2816.0965892526. The cubic root of 7930400 is about 199.4183098229.

Adding to 7930400 its reverse (40397), we get a palindrome (7970797).

The spelling of 7930400 in words is "seven million, nine hundred thirty thousand, four hundred".