47760000 has 160 divisors (see below), whose sum is σ = 159324000. Its totient is φ = 12672000.

The previous prime is 47759993. The next prime is 47760017. The reversal of 47760000 is 6774.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239901 + ... + 240099.

It is an arithmetic number, because the mean of its divisors is an integer number (995775).

Almost surely, 2^47760000 is an apocalyptic number.

47760000 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 47760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79662000).

47760000 is an abundant number, since it is smaller than the sum of its proper divisors (111564000).

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

47760000 is an equidigital number, since it uses as much as digits as its factorization.

47760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 47760000 is about 6910.8610172684. The cubic root of 47760000 is about 362.8173993771.

Adding to 47760000 its reverse (6774), we get a palindrome (47766774).

The spelling of 47760000 in words is "forty-seven million, seven hundred sixty thousand".