7893940 has 48 divisors (see below), whose sum is σ = 17341632. Its totient is φ = 3015936.

The previous prime is 7893883. The next prime is 7893943. The reversal of 7893940 is 493987.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7893893 and 7893902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7893943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57552 + ... + 57688.

It is an arithmetic number, because the mean of its divisors is an integer number (361284).

Almost surely, 2^7893940 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 7893940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670816).

7893940 is an abundant number, since it is smaller than the sum of its proper divisors (9447692).

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

7893940 is a wasteful number, since it uses less digits than its factorization.

7893940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 7893940 is about 2809.6156320750. The cubic root of 7893940 is about 199.1122318358.

The spelling of 7893940 in words is "seven million, eight hundred ninety-three thousand, nine hundred forty".