50767200 has 216 divisors, whose sum is σ = 195596856. Its totient is φ = 12288000.

The previous prime is 50767159. The next prime is 50767207. The reversal of 50767200 is 276705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50767207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78880 + ... + 79520.

It is an arithmetic number, because the mean of its divisors is an integer number (905541).

Almost surely, 2^50767200 is an apocalyptic number.

50767200 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 50767200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97798428).

50767200 is an abundant number, since it is smaller than the sum of its proper divisors (144829656).

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

50767200 is a wasteful number, since it uses less digits than its factorization.

50767200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 50767200 is about 7125.1105254585. The cubic root of 50767200 is about 370.2778531384.

The spelling of 50767200 in words is "fifty million, seven hundred sixty-seven thousand, two hundred".