7920360 has 144 divisors (see below), whose sum is σ = 30010500. Its totient is φ = 1806336.

The previous prime is 7920347. The next prime is 7920361. The reversal of 7920360 is 630297.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 1764 = 2814^2 + 42^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7920361) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 17416 + ... + 17864.

Almost surely, 2^7920360 is an apocalyptic number.

7920360 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 7920360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15005250).

7920360 is an abundant number, since it is smaller than the sum of its proper divisors (22090140).

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

7920360 is a wasteful number, since it uses less digits than its factorization.

7920360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 7920360 is about 2814.3134153822. The cubic root of 7920360 is about 199.3341188049.

The spelling of 7920360 in words is "seven million, nine hundred twenty thousand, three hundred sixty".