47779500 has 96 divisors (see below), whose sum is σ = 141994944. Its totient is φ = 12480000.

The previous prime is 47779489. The next prime is 47779507. The reversal of 47779500 is 597774.

47779500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47779507) by changing a digit.

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, 79200 + ... + 79800.

It is an arithmetic number, because the mean of its divisors is an integer number (1479114).

Almost surely, 2^47779500 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 47779500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70997472).

47779500 is an abundant number, since it is smaller than the sum of its proper divisors (94215444).

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

47779500 is a wasteful number, since it uses less digits than its factorization.

47779500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 47779500 is about 6912.2716960490. The cubic root of 47779500 is about 362.8667710733.

The spelling of 47779500 in words is "forty-seven million, seven hundred seventy-nine thousand, five hundred".