7875936 has 144 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 2365440.

The previous prime is 7875919. The next prime is 7875961. The reversal of 7875936 is 6395787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

Its product of digits (317520) is a multiple of the sum of its prime divisors (98).

It is a junction number, because it is equal to n+sod(n) for n = 7875891 and 7875900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192076 + ... + 192116.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^7875936 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 7875936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

7875936 is an abundant number, since it is smaller than the sum of its proper divisors (16890624).

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

7875936 is a wasteful number, since it uses less digits than its factorization.

7875936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 7875936 is about 2806.4098061402. The cubic root of 7875936 is about 198.9607424054.

The spelling of 7875936 in words is "seven million, eight hundred seventy-five thousand, nine hundred thirty-six".