7856268 has 72 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 2167200.

The previous prime is 7856257. The next prime is 7856269. The reversal of 7856268 is 8626587.

7856268 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×7856268⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

7856268 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7856269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18013 + ... + 18443.

It is an arithmetic number, because the mean of its divisors is an integer number (306432).

Almost surely, 2^7856268 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 7856268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

7856268 is an abundant number, since it is smaller than the sum of its proper divisors (14206836).

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

7856268 is a wasteful number, since it uses less digits than its factorization.

7856268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 7856268 is about 2802.9034945927. The cubic root of 7856268 is about 198.7949876406.

The spelling of 7856268 in words is "seven million, eight hundred fifty-six thousand, two hundred sixty-eight".