50806800 has 180 divisors, whose sum is σ = 192492144. Its totient is φ = 12307200.

The previous prime is 50806781. The next prime is 50806801. The reversal of 50806800 is 860805.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (50806801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38959 + ... + 40241.

Almost surely, 2^50806800 is an apocalyptic number.

50806800 is a gapful number since it is divisible by the number (50) 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 50806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96246072).

50806800 is an abundant number, since it is smaller than the sum of its proper divisors (141685344).

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

50806800 is a wasteful number, since it uses less digits than its factorization.

50806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 50806800 is about 7127.8888880229. Note that the first 6 decimals coincide. The cubic root of 50806800 is about 370.3741042093.

The spelling of 50806800 in words is "fifty million, eight hundred six thousand, eight hundred".