50077200 has 120 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 12884480.

The previous prime is 50077151. The next prime is 50077201. The reversal of 50077200 is 277005.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (50077201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34081 + ... + 35519.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 2^50077200 is an apocalyptic number.

50077200 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 50077200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

50077200 is an abundant number, since it is smaller than the sum of its proper divisors (115983600).

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

50077200 is a wasteful number, since it uses less digits than its factorization.

50077200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 50077200 is about 7076.5245707197. The cubic root of 50077200 is about 368.5926571855.

The spelling of 50077200 in words is "fifty million, seventy-seven thousand, two hundred".