20782080 has 264 divisors, whose sum is σ = 80471664. Its totient is φ = 4915200.

The previous prime is 20782061. The next prime is 20782081. The reversal of 20782080 is 8028702.

It is a tau number, because it is divible by the number of its divisors (264).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20782081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506860 + ... + 506900.

Almost surely, 2^20782080 is an apocalyptic number.

20782080 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 20782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40235832).

20782080 is an abundant number, since it is smaller than the sum of its proper divisors (59689584).

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

20782080 is a wasteful number, since it uses less digits than its factorization.

20782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20782080 is about 4558.7366671042. The cubic root of 20782080 is about 274.9347724086.

The spelling of 20782080 in words is "twenty million, seven hundred eighty-two thousand, eighty".