10782720 has 240 divisors, whose sum is σ = 41621580. Its totient is φ = 2654208.

The previous prime is 10782701. The next prime is 10782721. The reversal of 10782720 is 2728701.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 746496 = 3168^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 312 × 120 × 288.

It is not an unprimeable number, because it can be changed into a prime (10782721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829434 + ... + 829446.

Almost surely, 2^10782720 is an apocalyptic number.

10782720 is a gapful number since it is divisible by the number (10) 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 10782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810790).

10782720 is an abundant number, since it is smaller than the sum of its proper divisors (30838860).

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

10782720 is an equidigital number, since it uses as much as digits as its factorization.

10782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10782720 is about 3283.7052242855. The cubic root of 10782720 is about 220.9239379804.

The spelling of 10782720 in words is "ten million, seven hundred eighty-two thousand, seven hundred twenty".