7998320 has 80 divisors (see below), whose sum is σ = 20757600. Its totient is φ = 2841600.

The previous prime is 7998307. The next prime is 7998337. The reversal of 7998320 is 238997.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 53606 + ... + 53754.

It is an arithmetic number, because the mean of its divisors is an integer number (259470).

Almost surely, 2^7998320 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 7998320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378800).

7998320 is an abundant number, since it is smaller than the sum of its proper divisors (12759280).

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

7998320 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (7998319) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (228).

7998320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 7998320 is about 2828.1301243047. The cubic root of 7998320 is about 199.9859990199.

It can be divided in two parts, 799 and 8320, that added together give a palindrome (9119).

The spelling of 7998320 in words is "seven million, nine hundred ninety-eight thousand, three hundred twenty".