7959040 has 40 divisors (see below), whose sum is σ = 19089180. Its totient is φ = 3182592.

The previous prime is 7959037. The next prime is 7959067. The reversal of 7959040 is 409597.

7959040 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 473344 = 2736^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 7958987 and 7959005.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1006 + ... + 4114.

Almost surely, 2^7959040 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 7959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544590).

7959040 is an abundant number, since it is smaller than the sum of its proper divisors (11130140).

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

7959040 is an equidigital number, since it uses as much as digits as its factorization.

7959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 7959040 is about 2821.1770593141. The cubic root of 7959040 is about 199.6580824618.

The spelling of 7959040 in words is "seven million, nine hundred fifty-nine thousand, forty".