50800 has 30 divisors (see below), whose sum is σ = 123008. Its totient is φ = 20160.

The previous prime is 50789. The next prime is 50821. The reversal of 50800 is 805.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 337 + ... + 463.

2⁵⁰⁸⁰⁰ is an apocalyptic number.

50800 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 50800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61504).

50800 is an abundant number, since it is smaller than the sum of its proper divisors (72208).

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

50800 is a wasteful number, since it uses less digits than its factorization.

50800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 50800 is about 225.3885533917. The cubic root of 50800 is about 37.0357579805.

It can be divided in two parts, 50 and 800, that multiplied together give a square (40000 = 200²).

The spelling of 50800 in words is "fifty thousand, eight hundred".