7881984 has 108 divisors (see below), whose sum is σ = 24871392. Its totient is φ = 2380800.

The previous prime is 7881983. The next prime is 7882003. The reversal of 7881984 is 4891887.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7881983) 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 11 ways as a sum of consecutive naturals, for example, 25189 + ... + 25499.

Almost surely, 2^7881984 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 7881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435696).

7881984 is an abundant number, since it is smaller than the sum of its proper divisors (16989408).

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

7881984 is a wasteful number, since it uses less digits than its factorization.

7881984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 7881984 is about 2807.4871326508. The cubic root of 7881984 is about 199.0116572719.

It can be divided in two parts, 788 and 1984, that added together give a palindrome (2772).

The spelling of 7881984 in words is "seven million, eight hundred eighty-one thousand, nine hundred eighty-four".