7278320 has 80 divisors (see below), whose sum is σ = 19873728. Its totient is φ = 2426880.

The previous prime is 7278269. The next prime is 7278343. The reversal of 7278320 is 238727.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22802 + ... + 23118.

Almost surely, 2^7278320 is an apocalyptic number.

7278320 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 7278320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936864).

7278320 is an abundant number, since it is smaller than the sum of its proper divisors (12595408).

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

7278320 is a wasteful number, since it uses less digits than its factorization.

7278320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 7278320 is about 2697.8361699703. The cubic root of 7278320 is about 193.7955120277.

The spelling of 7278320 in words is "seven million, two hundred seventy-eight thousand, three hundred twenty".