47786760 has 320 divisors, whose sum is σ = 191664000. Its totient is φ = 10668672.

The previous prime is 47786741. The next prime is 47786777. The reversal of 47786760 is 6768774.

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

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 79 ways as a sum of consecutive naturals, for example, 1111299 + ... + 1111341.

It is an arithmetic number, because the mean of its divisors is an integer number (598950).

Almost surely, 2^47786760 is an apocalyptic number.

47786760 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 47786760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95832000).

47786760 is an abundant number, since it is smaller than the sum of its proper divisors (143877240).

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

47786760 is a wasteful number, since it uses less digits than its factorization.

47786760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

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

The square root of 47786760 is about 6912.7968290700. The cubic root of 47786760 is about 362.8851491039.

The spelling of 47786760 in words is "forty-seven million, seven hundred eighty-six thousand, seven hundred sixty".