63780120 has 48 divisors (see below), whose sum is σ = 207286560. Its totient is φ = 17007936.

The previous prime is 63780109. The next prime is 63780161. The reversal of 63780120 is 2108736.

63780120 is a `hidden beast` number, since 637 + 8 + 0 + 1 + 20 = 666.

63780120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88224 + ... + 88943.

It is an arithmetic number, because the mean of its divisors is an integer number (4318470).

Almost surely, 2^63780120 is an apocalyptic number.

63780120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63780120 is an abundant number, since it is smaller than the sum of its proper divisors (143506440).

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

63780120 is a wasteful number, since it uses less digits than its factorization.

63780120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177184 (or 177177 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 63780120 is about 7986.2456761610. The cubic root of 63780120 is about 399.5413910622.

Adding to 63780120 its reverse (2108736), we get a palindrome (65888856).

The spelling of 63780120 in words is "sixty-three million, seven hundred eighty thousand, one hundred twenty".