7286760 has 160 divisors (see below), whose sum is σ = 26528040. Its totient is φ = 1783296.

The previous prime is 7286707. The next prime is 7286777. The reversal of 7286760 is 676827.

It can be written as a sum of positive squares in 4 ways, for example, as 6081156 + 1205604 = 2466^2 + 1098^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42034 + ... + 42206.

Almost surely, 2^7286760 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 7286760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264020).

7286760 is an abundant number, since it is smaller than the sum of its proper divisors (19241280).

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

7286760 is a wasteful number, since it uses less digits than its factorization.

7286760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7286760 is about 2699.3999333185. The cubic root of 7286760 is about 193.8703920503.

It can be divided in two parts, 72867 and 60, that added together give a palindrome (72927).

The spelling of 7286760 in words is "seven million, two hundred eighty-six thousand, seven hundred sixty".