7958440 has 64 divisors (see below), whose sum is σ = 20972160. Its totient is φ = 2661120.

The previous prime is 7958429. The next prime is 7958443. The reversal of 7958440 is 448597.

7958440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 7958440.

It is not an unprimeable number, because it can be changed into a prime (7958443) 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, 11710 + ... + 12370.

It is an arithmetic number, because the mean of its divisors is an integer number (327690).

Almost surely, 2^7958440 is an apocalyptic number.

7958440 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 7958440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486080).

7958440 is an abundant number, since it is smaller than the sum of its proper divisors (13013720).

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

7958440 is a wasteful number, since it uses less digits than its factorization.

7958440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 7958440 is about 2821.0707187166. The cubic root of 7958440 is about 199.6530651959.

The spelling of 7958440 in words is "seven million, nine hundred fifty-eight thousand, four hundred forty".