7969600 has 84 divisors (see below), whose sum is σ = 20834604. Its totient is φ = 2990080.

The previous prime is 7969597. The next prime is 7969601. The reversal of 7969600 is 69697.

It can be written as a sum of positive squares in 6 ways, for example, as 614656 + 7354944 = 784^2 + 2712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7969600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7969601) 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, 27054 + ... + 27346.

It is an arithmetic number, because the mean of its divisors is an integer number (248031).

Almost surely, 2^7969600 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 7969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417302).

7969600 is an abundant number, since it is smaller than the sum of its proper divisors (12865004).

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

7969600 is a wasteful number, since it uses less digits than its factorization.

7969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 7969600 is about 2823.0479981750. The cubic root of 7969600 is about 199.7463450986.

The spelling of 7969600 in words is "seven million, nine hundred sixty-nine thousand, six hundred".