7925984 has 72 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 3407360.

The previous prime is 7925977. The next prime is 7925989. The reversal of 7925984 is 4895297.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 7⁸ + 9³ + 2⁵ + 5³ + 9⁵ + 8⁷ + 4⁶ .

Its product of digits (181440) is a multiple of the sum of its prime factors (144).

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 (7925989) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 89012 + ... + 89100.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 2^7925984 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 7925984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

7925984 is an abundant number, since it is smaller than the sum of its proper divisors (10172656).

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

7925984 is a wasteful number, since it uses less digits than its factorization.

7925984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 7925984 is about 2815.3124160562. The cubic root of 7925984 is about 199.3812879507.

It can be divided in two parts, 792 and 5984, that added together give a palindrome (6776).

The spelling of 7925984 in words is "seven million, nine hundred twenty-five thousand, nine hundred eighty-four".