50784 has 36 divisors (see below), whose sum is σ = 139356. Its totient is φ = 16192.

The previous prime is 50777. The next prime is 50789. The reversal of 50784 is 48705.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50789) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2197 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (3871).

2⁵⁰⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69678).

50784 is an abundant number, since it is smaller than the sum of its proper divisors (88572).

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

50784 is a wasteful number, since it uses less digits than its factorization.

50784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 50784 is about 225.3530563361. The cubic root of 50784 is about 37.0318693037.

Multiplying 50784 by its sum of digits (24), we get a square (1218816 = 1104²).

50784 divided by its sum of digits (24) gives a square (2116 = 46²).

The spelling of 50784 in words is "fifty thousand, seven hundred eighty-four".