7456320 has 112 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 1986048.

The previous prime is 7456291. The next prime is 7456321. The reversal of 7456320 is 236547.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7456321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8209 + ... + 9071.

Almost surely, 2^7456320 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 7456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

7456320 is an abundant number, since it is smaller than the sum of its proper divisors (18878400).

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

7456320 is a wasteful number, since it uses less digits than its factorization.

7456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7456320 is about 2730.6263017850. The cubic root of 7456320 is about 195.3626387971.

It can be divided in two parts, 7456 and 320, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7456320 in words is "seven million, four hundred fifty-six thousand, three hundred twenty".