7893984 has 96 divisors (see below), whose sum is σ = 25111296. Its totient is φ = 2119680.

The previous prime is 7893943. The next prime is 7893989. The reversal of 7893984 is 4893987.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7893989) 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, 11079 + ... + 11769.

It is an arithmetic number, because the mean of its divisors is an integer number (261576).

Almost surely, 2^7893984 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 7893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555648).

7893984 is an abundant number, since it is smaller than the sum of its proper divisors (17217312).

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

7893984 is a wasteful number, since it uses less digits than its factorization.

7893984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 7893984 is about 2809.6234623166. The cubic root of 7893984 is about 199.1126017787.

The spelling of 7893984 in words is "seven million, eight hundred ninety-three thousand, nine hundred eighty-four".