7865264 has 80 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 3252480.

The previous prime is 7865261. The next prime is 7865267. The reversal of 7865264 is 4625687.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7865261) and next prime (7865267).

It is a d-powerful number, because it can be written as 7⁸ + 8⁷ + 6 + 5⁵ + 2⁷ + 6² + 4² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7865261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117359 + ... + 117425.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 2^7865264 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 7865264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

7865264 is an abundant number, since it is smaller than the sum of its proper divisors (10347856).

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

7865264 is a wasteful number, since it uses less digits than its factorization.

7865264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 7865264 is about 2804.5077999535. The cubic root of 7865264 is about 198.8708369515.

The spelling of 7865264 in words is "seven million, eight hundred sixty-five thousand, two hundred sixty-four".