7875 has 24 divisors (see below), whose sum is σ = 16224. Its totient is φ = 3600.

The previous prime is 7873. The next prime is 7877. The reversal of 7875 is 5787.

It can be divided in two parts, 78 and 75, that added together give a triangular number (153 = T_{17}).

7875 is a nontrivial binomial coefficient, being equal to C(126, 2).

It is an interprime number because it is at equal distance from previous prime (7873) and next prime (7877).

It is not a de Polignac number, because 7875 - 2^{1} = 7873 is a prime.

Its product of digits (1960) is a multiple of the sum of its prime factors (28).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (7873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (676).

2^{7875} is an apocalyptic number.

7875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7875 is the 125-th triangular number and also the 63-rd hexagonal number.

7875 is an abundant number, since it is smaller than the sum of its proper divisors (8349).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112).

7875 is a wasteful number, since it uses less digits than its factorization.

7875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 15 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 7875 is about 88.7411967465. The cubic root of 7875 is about 19.8952860395.

The spelling of 7875 in words is "seven thousand, eight hundred seventy-five".

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