7959120 has 80 divisors (see below), whose sum is σ = 26581632. Its totient is φ = 1958400.

The previous prime is 7959089. The next prime is 7959151. The reversal of 7959120 is 219597.

It is an interprime number because it is at equal distance from previous prime (7959089) and next prime (7959151).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1845 + ... + 4395.

Almost surely, 2^7959120 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 7959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13290816).

7959120 is an abundant number, since it is smaller than the sum of its proper divisors (18622512).

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

7959120 is a wasteful number, since it uses less digits than its factorization.

7959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 7959120 is about 2821.1912377576. The cubic root of 7959120 is about 199.6587514115.

The spelling of 7959120 in words is "seven million, nine hundred fifty-nine thousand, one hundred twenty".