7965600 has 72 divisors (see below), whose sum is σ = 25935840. Its totient is φ = 2123520.

The previous prime is 7965599. The next prime is 7965623. The reversal of 7965600 is 65697.

It is an unprimeable number.

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, 741 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (360220).

Almost surely, 2^7965600 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 7965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967920).

7965600 is an abundant number, since it is smaller than the sum of its proper divisors (17970240).

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

7965600 is a wasteful number, since it uses less digits than its factorization.

7965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 7965600 is about 2822.3394551329. The cubic root of 7965600 is about 199.7129214601.

The spelling of 7965600 in words is "seven million, nine hundred sixty-five thousand, six hundred".