20766800 has 60 divisors (see below), whose sum is σ = 50337180. Its totient is φ = 8232960.

The previous prime is 20766799. The next prime is 20766817. The reversal of 20766800 is 866702.

It can be written as a sum of positive squares in 6 ways, for example, as 5494336 + 15272464 = 2344^2 + 3908^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77066 + ... + 77334.

It is an arithmetic number, because the mean of its divisors is an integer number (838953).

Almost surely, 2^20766800 is an apocalyptic number.

20766800 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 20766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25168590).

20766800 is an abundant number, since it is smaller than the sum of its proper divisors (29570380).

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

20766800 is a wasteful number, since it uses less digits than its factorization.

20766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 20766800 is about 4557.0604560396. The cubic root of 20766800 is about 274.8673740645.

The spelling of 20766800 in words is "twenty million, seven hundred sixty-six thousand, eight hundred".