7838226 has 48 divisors (see below), whose sum is σ = 19139328. Its totient is φ = 2296800.

The previous prime is 7838221. The next prime is 7838261. The reversal of 7838226 is 6228387.

It is a happy number.

It is a super-3 number, since 3×7838226³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 7⁸ + 8³ + 3⁴ + 8⁶ + 2¹⁶ + 2¹⁶ + 6⁸ .

It is not an unprimeable number, because it can be changed into a prime (7838221) 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, 5500 + ... + 6776.

It is an arithmetic number, because the mean of its divisors is an integer number (398736).

Almost surely, 2^7838226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7838226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569664).

7838226 is an abundant number, since it is smaller than the sum of its proper divisors (11301102).

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

7838226 is a wasteful number, since it uses less digits than its factorization.

7838226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1324 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7838226 is about 2799.6831963635. The cubic root of 7838226 is about 198.6426927564.

It can be divided in two parts, 783 and 8226, that added together give a palindrome (9009).

The spelling of 7838226 in words is "seven million, eight hundred thirty-eight thousand, two hundred twenty-six".