47877600 has 72 divisors (see below), whose sum is σ = 155849400. Its totient is φ = 12766720.

The previous prime is 47877589. The next prime is 47877601. The reversal of 47877600 is 677874.

It is a happy number.

47877600 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 not an unprimeable number, because it can be changed into a prime (47877601) 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, 7575 + ... + 12374.

It is an arithmetic number, because the mean of its divisors is an integer number (2164575).

Almost surely, 2^47877600 is an apocalyptic number.

47877600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47877600 is an abundant number, since it is smaller than the sum of its proper divisors (107971800).

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

47877600 is a wasteful number, since it uses less digits than its factorization.

47877600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19972 (or 19959 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 47877600 is about 6919.3641326353. The cubic root of 47877600 is about 363.1149451191.

The spelling of 47877600 in words is "forty-seven million, eight hundred seventy-seven thousand, six hundred".