20788800 has 168 divisors, whose sum is σ = 70299072. Its totient is φ = 5376000.

The previous prime is 20788787. The next prime is 20788811. The reversal of 20788800 is 888702.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 292765 + ... + 292835.

Almost surely, 2^20788800 is an apocalyptic number.

20788800 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 20788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35149536).

20788800 is an abundant number, since it is smaller than the sum of its proper divisors (49510272).

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

20788800 is a wasteful number, since it uses less digits than its factorization.

20788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 20788800 is about 4559.4736538333. The cubic root of 20788800 is about 274.9644031059.

It can be divided in two parts, 2078 and 8800, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 20788800 in words is "twenty million, seven hundred eighty-eight thousand, eight hundred".