7875840 has 144 divisors (see below), whose sum is σ = 28844928. Its totient is φ = 1794048.

The previous prime is 7875827. The next prime is 7875841. The reversal of 7875840 is 485787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7875841) 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, 26734 + ... + 27026.

It is an arithmetic number, because the mean of its divisors is an integer number (200312).

Almost surely, 2^7875840 is an apocalyptic number.

7875840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422464).

7875840 is an abundant number, since it is smaller than the sum of its proper divisors (20969088).

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

7875840 is a wasteful number, since it uses less digits than its factorization.

7875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 7875840 is about 2806.3927023850. The cubic root of 7875840 is about 198.9599340228.

The spelling of 7875840 in words is "seven million, eight hundred seventy-five thousand, eight hundred forty".