47781760 has 64 divisors (see below), whose sum is σ = 123036480. Its totient is φ = 17639424.

The previous prime is 47781749. The next prime is 47781809. The reversal of 47781760 is 6718774.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5449 + ... + 11191.

It is an arithmetic number, because the mean of its divisors is an integer number (1922445).

Almost surely, 2^47781760 is an apocalyptic number.

47781760 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 47781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61518240).

47781760 is an abundant number, since it is smaller than the sum of its proper divisors (75254720).

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

47781760 is a wasteful number, since it uses less digits than its factorization.

47781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 47781760 is about 6912.4351714862. The cubic root of 47781760 is about 362.8724922576.

The spelling of 47781760 in words is "forty-seven million, seven hundred eighty-one thousand, seven hundred sixty".