7838496 has 72 divisors (see below), whose sum is σ = 23616684. Its totient is φ = 2457600.

The previous prime is 7838491. The next prime is 7838527. The reversal of 7838496 is 6948387.

It is a happy number.

7838496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 1904400 = 2436^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7838496² = 122884039084032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7838491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4096 + ... + 5696.

Almost surely, 2^7838496 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 7838496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808342).

7838496 is an abundant number, since it is smaller than the sum of its proper divisors (15778188).

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

7838496 is a wasteful number, since it uses less digits than its factorization.

7838496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1623 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7838496 is about 2799.7314156897. The cubic root of 7838496 is about 198.6449735834.

The spelling of 7838496 in words is "seven million, eight hundred thirty-eight thousand, four hundred ninety-six".