7416320 has 40 divisors (see below), whose sum is σ = 17787924. Its totient is φ = 2965504.

The previous prime is 7416313. The next prime is 7416341. The reversal of 7416320 is 236147.

It can be written as a sum of positive squares in 2 ways, for example, as 6801664 + 614656 = 2608^2 + 784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112 + ... + 4008.

Almost surely, 2^7416320 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 7416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893962).

7416320 is an abundant number, since it is smaller than the sum of its proper divisors (10371604).

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

7416320 is an equidigital number, since it uses as much as digits as its factorization.

7416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 7416320 is about 2723.2921253512. The cubic root of 7416320 is about 195.0126662822.

The spelling of 7416320 in words is "seven million, four hundred sixteen thousand, three hundred twenty".