20778072 has 64 divisors (see below), whose sum is σ = 59704320. Its totient is φ = 5902848.

The previous prime is 20778071. The next prime is 20778083. The reversal of 20778072 is 27087702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20778071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56433 + ... + 56799.

It is an arithmetic number, because the mean of its divisors is an integer number (932880).

Almost surely, 2^20778072 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 20778072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29852160).

20778072 is an abundant number, since it is smaller than the sum of its proper divisors (38926248).

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

20778072 is a wasteful number, since it uses less digits than its factorization.

20778072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 20778072 is about 4558.2970504345. The cubic root of 20778072 is about 274.9170967731.

The spelling of 20778072 in words is "twenty million, seven hundred seventy-eight thousand, seventy-two".