47778800 has 30 divisors (see below), whose sum is σ = 114789528. Its totient is φ = 19111360.

The previous prime is 47778793. The next prime is 47778821. The reversal of 47778800 is 887774.

It is a happy number.

47778800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 59324 + ... + 60123.

Almost surely, 2^47778800 is an apocalyptic number.

47778800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47778800 is an abundant number, since it is smaller than the sum of its proper divisors (67010728).

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

47778800 is a wasteful number, since it uses less digits than its factorization.

47778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119465 (or 119454 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 47778800 is about 6912.2210612798. The cubic root of 47778800 is about 362.8649989885.

The spelling of 47778800 in words is "forty-seven million, seven hundred seventy-eight thousand, eight hundred".