48782800 has 60 divisors (see below), whose sum is σ = 127866816. Its totient is φ = 17737600.

The previous prime is 48782791. The next prime is 48782807. The reversal of 48782800 is 828784.

48782800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48782800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48782807) 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 11 ways as a sum of consecutive naturals, for example, 1144 + ... + 9943.

Almost surely, 2^48782800 is an apocalyptic number.

48782800 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 48782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63933408).

48782800 is an abundant number, since it is smaller than the sum of its proper divisors (79084016).

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

48782800 is a wasteful number, since it uses less digits than its factorization.

48782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11116 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 48782800 is about 6984.4684837144. The cubic root of 48782800 is about 365.3890890567.

The spelling of 48782800 in words is "forty-eight million, seven hundred eighty-two thousand, eight hundred".