7348320 has 216 divisors, whose sum is σ = 29759184. Its totient is φ = 1679616.

The previous prime is 7348283. The next prime is 7348321. The reversal of 7348320 is 238437.

7348320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7348321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049757 + ... + 1049763.

It is an arithmetic number, because the mean of its divisors is an integer number (137774).

Almost surely, 2^7348320 is an apocalyptic number.

7348320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879592).

7348320 is an abundant number, since it is smaller than the sum of its proper divisors (22410864).

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

7348320 is an frugal number, since it uses more digits than its factorization.

7348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7348320 is about 2710.7784859704. The cubic root of 7348320 is about 194.4148136860.

The spelling of 7348320 in words is "seven million, three hundred forty-eight thousand, three hundred twenty".