47706880 has 144 divisors (see below), whose sum is σ = 127741824. Its totient is φ = 16957440.

The previous prime is 47706851. The next prime is 47706907. The reversal of 47706880 is 8860774.

47706880 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 (40).

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 15 ways as a sum of consecutive naturals, for example, 782050 + ... + 782110.

It is an arithmetic number, because the mean of its divisors is an integer number (887096).

Almost surely, 2^47706880 is an apocalyptic number.

47706880 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 47706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63870912).

47706880 is an abundant number, since it is smaller than the sum of its proper divisors (80034944).

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

47706880 is a wasteful number, since it uses less digits than its factorization.

47706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 47706880 is about 6907.0167221457. The cubic root of 47706880 is about 362.6828376104.

The spelling of 47706880 in words is "forty-seven million, seven hundred six thousand, eight hundred eighty".