7933842 has 64 divisors (see below), whose sum is σ = 20428800. Its totient is φ = 2235600.

The previous prime is 7933841. The next prime is 7933867. The reversal of 7933842 is 2483397.

7933842 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 7933797 and 7933806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7933841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52467 + ... + 52617.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^7933842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7933842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214400).

7933842 is an abundant number, since it is smaller than the sum of its proper divisors (12494958).

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

7933842 is a wasteful number, since it uses less digits than its factorization.

7933842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 7933842 is about 2816.7076525618. The cubic root of 7933842 is about 199.4471565621.

The spelling of 7933842 in words is "seven million, nine hundred thirty-three thousand, eight hundred forty-two".