50777800 has 48 divisors (see below), whose sum is σ = 118586160. Its totient is φ = 20220480.

The previous prime is 50777777. The next prime is 50777807. The reversal of 50777800 is 877705.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (50777807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60987 + ... + 61813.

It is an arithmetic number, because the mean of its divisors is an integer number (2470545).

Almost surely, 2^50777800 is an apocalyptic number.

50777800 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 50777800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59293080).

50777800 is an abundant number, since it is smaller than the sum of its proper divisors (67808360).

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

50777800 is a wasteful number, since it uses less digits than its factorization.

50777800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 34.

The square root of 50777800 is about 7125.8543347447. The cubic root of 50777800 is about 370.3036222183.

The spelling of 50777800 in words is "fifty million, seven hundred seventy-seven thousand, eight hundred".