7950 has 24 divisors (see below), whose sum is σ = 20088. Its totient is φ = 2080.

The previous prime is 7949. The next prime is 7951. The reversal of 7950 is 597.

It is an interprime number because it is at equal distance from previous prime (7949) and next prime (7951).

It is an Ulam number.

It is a Curzon number.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7950.

It is not an unprimeable number, because it can be changed into a prime (7951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (837).

2⁷⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044).

7950 is an abundant number, since it is smaller than the sum of its proper divisors (12138).

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

7950 is a wasteful number, since it uses less digits than its factorization.

7950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 7950 is about 89.1627725006. The cubic root of 7950 is about 19.9582462251.

The spelling of 7950 in words is "seven thousand, nine hundred fifty".