7866288 has 80 divisors (see below), whose sum is σ = 22915200. Its totient is φ = 2583360.

The previous prime is 7866277. The next prime is 7866289. The reversal of 7866288 is 8826687.

It is not an unprimeable number, because it can be changed into a prime (7866289) 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, 56523 + ... + 56661.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 2^7866288 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 7866288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457600).

7866288 is an abundant number, since it is smaller than the sum of its proper divisors (15048912).

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

7866288 is a wasteful number, since it uses less digits than its factorization.

7866288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 7866288 is about 2804.6903572409. The cubic root of 7866288 is about 198.8794670877.

It can be divided in two parts, 78 and 66288, that added together give a palindrome (66366).

The spelling of 7866288 in words is "seven million, eight hundred sixty-six thousand, two hundred eighty-eight".