20796800 has 96 divisors (see below), whose sum is σ = 52678920. Its totient is φ = 8110080.

The previous prime is 20796781. The next prime is 20796817. The reversal of 20796800 is 869702.

20796800 = T₉₉ + T₁₀₀ + ... + T₅₀₀.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 214352 + ... + 214448.

Almost surely, 2^20796800 is an apocalyptic number.

20796800 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 20796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26339460).

20796800 is an abundant number, since it is smaller than the sum of its proper divisors (31882120).

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

20796800 is an equidigital number, since it uses as much as digits as its factorization.

20796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 20796800 is about 4560.3508636946. The cubic root of 20796800 is about 274.9996694211. Note that the first 3 decimals are identical.

The spelling of 20796800 in words is "twenty million, seven hundred ninety-six thousand, eight hundred".