47780200 has 192 divisors, whose sum is σ = 134991360. Its totient is φ = 15544320.

The previous prime is 47780191. The next prime is 47780233. The reversal of 47780200 is 208774.

47780200 is a nontrivial binomial coefficient, being equal to C(9776, 2).

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 47 ways as a sum of consecutive naturals, for example, 1016577 + ... + 1016623.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^47780200 is an apocalyptic number.

47780200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47780200 is the 9775-th triangular number and also the 4888-th hexagonal number.

47780200 is the 3259-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

47780200 is an abundant number, since it is smaller than the sum of its proper divisors (87211160).

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

47780200 is a wasteful number, since it uses less digits than its factorization.

47780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 47780200 is about 6912.3223304473. The cubic root of 47780200 is about 362.8685431408.

Adding to 47780200 its reverse (208774), we get a palindrome (47988974).

The spelling of 47780200 in words is "forty-seven million, seven hundred eighty thousand, two hundred".