7905408 has 128 divisors (see below), whose sum is σ = 25557120. Its totient is φ = 2113536.

The previous prime is 7905407. The next prime is 7905419. The reversal of 7905408 is 8045097.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (7905407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45610 + ... + 45782.

It is an arithmetic number, because the mean of its divisors is an integer number (199665).

Almost surely, 2^7905408 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 7905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778560).

7905408 is an abundant number, since it is smaller than the sum of its proper divisors (17651712).

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

7905408 is a wasteful number, since it uses less digits than its factorization.

7905408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 7905408 is about 2811.6557399511. The cubic root of 7905408 is about 199.2086059410.

The spelling of 7905408 in words is "seven million, nine hundred five thousand, four hundred eight".