7958940 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 1862400.

The previous prime is 7958927. The next prime is 7958983. The reversal of 7958940 is 498597.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 7958892 and 7958901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20266 + ... + 20654.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^7958940 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 7958940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

7958940 is an abundant number, since it is smaller than the sum of its proper divisors (17200740).

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

7958940 is a wasteful number, since it uses less digits than its factorization.

7958940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 7958940 is about 2821.1593361595. The cubic root of 7958940 is about 199.6572462683.

The spelling of 7958940 in words is "seven million, nine hundred fifty-eight thousand, nine hundred forty".