7829838 has 32 divisors (see below), whose sum is σ = 17692320. Its totient is φ = 2566080.

The previous prime is 7829837. The next prime is 7829851. The reversal of 7829838 is 8389287.

It is a super-2 number, since 2×7829838² = 122612726212488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7829793 and 7829802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7829837) 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, 2106 + ... + 4482.

It is an arithmetic number, because the mean of its divisors is an integer number (552885).

Almost surely, 2^7829838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7829838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846160).

7829838 is an abundant number, since it is smaller than the sum of its proper divisors (9862482).

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

7829838 is a wasteful number, since it uses less digits than its factorization.

7829838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2443 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 7829838 is about 2798.1847687385. The cubic root of 7829838 is about 198.5718089611.

The spelling of 7829838 in words is "seven million, eight hundred twenty-nine thousand, eight hundred thirty-eight".