47776000 has 72 divisors (see below), whose sum is σ = 119095704. Its totient is φ = 19097600.

The previous prime is 47775997. The next prime is 47776019. The reversal of 47776000 is 67774.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 47775744 = 16^2 + 6912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31254 + ... + 32746.

It is an arithmetic number, because the mean of its divisors is an integer number (1654107).

Almost surely, 2^47776000 is an apocalyptic number.

47776000 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 47776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59547852).

47776000 is an abundant number, since it is smaller than the sum of its proper divisors (71319704).

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

47776000 is an equidigital number, since it uses as much as digits as its factorization.

47776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 47776000 is about 6912.0185184937. The cubic root of 47776000 is about 362.8579104761.

The spelling of 47776000 in words is "forty-seven million, seven hundred seventy-six thousand".