20782200 has 96 divisors (see below), whose sum is σ = 67852800. Its totient is φ = 5247360.

The previous prime is 20782193. The next prime is 20782213. The reversal of 20782200 is 228702.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10489 + ... + 12311.

It is an arithmetic number, because the mean of its divisors is an integer number (706800).

Almost surely, 2^20782200 is an apocalyptic number.

20782200 is a gapful number since it is divisible by the number (20) 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 20782200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926400).

20782200 is an abundant number, since it is smaller than the sum of its proper divisors (47070600).

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

20782200 is a wasteful number, since it uses less digits than its factorization.

20782200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 20782200 is about 4558.7498286263. The cubic root of 20782200 is about 274.9353015842.

It can be divided in two parts, 2078 and 2200, that added together give a triangular number (4278 = T₉₂).

The spelling of 20782200 in words is "twenty million, seven hundred eighty-two thousand, two hundred".