7965288 has 24 divisors (see below), whose sum is σ = 21572850. Its totient is φ = 2655072.

The previous prime is 7965283. The next prime is 7965289. The reversal of 7965288 is 8825697.

It can be written as a sum of positive squares in only one way, i.e., 7717284 + 248004 = 2778^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (7965281) 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 5 ways as a sum of consecutive naturals, for example, 55243 + ... + 55386.

Almost surely, 2^7965288 is an apocalyptic number.

It is an amenable number.

7965288 is an abundant number, since it is smaller than the sum of its proper divisors (13607562).

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

7965288 is a wasteful number, since it uses less digits than its factorization.

7965288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110641 (or 110634 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7965288 is about 2822.2841812971. The cubic root of 7965288 is about 199.7103139459.

It can be divided in two parts, 796 and 5288, that added together give a square (6084 = 78²).

The spelling of 7965288 in words is "seven million, nine hundred sixty-five thousand, two hundred eighty-eight".