47780820 has 96 divisors (see below), whose sum is σ = 156508800. Its totient is φ = 12068352.

The previous prime is 47780819. The next prime is 47780881. The reversal of 47780820 is 2808774.

47780820 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 7932 + ... + 12588.

It is an arithmetic number, because the mean of its divisors is an integer number (1630300).

Almost surely, 2^47780820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47780820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78254400).

47780820 is an abundant number, since it is smaller than the sum of its proper divisors (108727980).

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

47780820 is a wasteful number, since it uses less digits than its factorization.

47780820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 47780820 is about 6912.3671777474. The cubic root of 47780820 is about 362.8701126719.

The spelling of 47780820 in words is "forty-seven million, seven hundred eighty thousand, eight hundred twenty".