7968400 has 60 divisors (see below), whose sum is σ = 20895984. Its totient is φ = 2896000.

The previous prime is 7968379. The next prime is 7968409. The reversal of 7968400 is 48697.

It is not an unprimeable number, because it can be changed into a prime (7968409) by changing a digit.

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, 3495 + ... + 5305.

Almost surely, 2^7968400 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 7968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447992).

7968400 is an abundant number, since it is smaller than the sum of its proper divisors (12927584).

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

7968400 is a wasteful number, since it uses less digits than its factorization.

7968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 7968400 is about 2822.8354539363. The cubic root of 7968400 is about 199.7363191816.

The spelling of 7968400 in words is "seven million, nine hundred sixty-eight thousand, four hundred".