7983408 has 40 divisors (see below), whose sum is σ = 20980800. Its totient is φ = 2615104.

The previous prime is 7983383. The next prime is 7983419. The reversal of 7983408 is 8043897.

7983408 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1423 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (524520).

Almost surely, 2^7983408 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 7983408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490400).

7983408 is an abundant number, since it is smaller than the sum of its proper divisors (12997392).

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

7983408 is a wasteful number, since it uses less digits than its factorization.

7983408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 7983408 is about 2825.4925234373. The cubic root of 7983408 is about 199.8616376347.

The spelling of 7983408 in words is "seven million, nine hundred eighty-three thousand, four hundred eight".