47768760 has 192 divisors, whose sum is σ = 171007200. Its totient is φ = 11492352.

The previous prime is 47768753. The next prime is 47768761. The reversal of 47768760 is 6786774.

47768760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47768761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 276034 + ... + 276206.

Almost surely, 2^47768760 is an apocalyptic number.

47768760 is a gapful number since it is divisible by the number (40) 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 47768760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85503600).

47768760 is an abundant number, since it is smaller than the sum of its proper divisors (123238440).

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

47768760 is a wasteful number, since it uses less digits than its factorization.

47768760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 47768760 is about 6911.4947732021. The cubic root of 47768760 is about 362.8395803244.

The spelling of 47768760 in words is "forty-seven million, seven hundred sixty-eight thousand, seven hundred sixty".