7935840 has 192 divisors, whose sum is σ = 30481920. Its totient is φ = 1912320.

The previous prime is 7935839. The next prime is 7935847. The reversal of 7935840 is 485397.

7935840 is a `hidden beast` number, since 79 + 3 + 584 + 0 = 666.

7935840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7935795 and 7935804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7935847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47437 + ... + 47603.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^7935840 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 7935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

7935840 is an abundant number, since it is smaller than the sum of its proper divisors (22546080).

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

7935840 is a wasteful number, since it uses less digits than its factorization.

7935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7935840 is about 2817.0622996306. The cubic root of 7935840 is about 199.4638975883.

The spelling of 7935840 in words is "seven million, nine hundred thirty-five thousand, eight hundred forty".