7965360 has 240 divisors, whose sum is σ = 30873024. Its totient is φ = 1824768.

The previous prime is 7965329. The next prime is 7965361. The reversal of 7965360 is 635697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7965361) 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 47 ways as a sum of consecutive naturals, for example, 215262 + ... + 215298.

Almost surely, 2^7965360 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 7965360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

7965360 is an abundant number, since it is smaller than the sum of its proper divisors (22907664).

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

7965360 is a wasteful number, since it uses less digits than its factorization.

7965360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 7965360 is about 2822.2969368938. The cubic root of 7965360 is about 199.7109156860.

The spelling of 7965360 in words is "seven million, nine hundred sixty-five thousand, three hundred sixty".