47760120 has 48 divisors (see below), whose sum is σ = 155221560. Its totient is φ = 12735936.

The previous prime is 47760113. The next prime is 47760137. The reversal of 47760120 is 2106774.

47760120 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 11 ways as a sum of consecutive naturals, for example, 65974 + ... + 66693.

Almost surely, 2^47760120 is an apocalyptic number.

47760120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47760120 is an abundant number, since it is smaller than the sum of its proper divisors (107461440).

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

47760120 is a wasteful number, since it uses less digits than its factorization.

47760120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132684 (or 132677 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 47760120 is about 6910.8696992491. The cubic root of 47760120 is about 362.8177032440.

Adding to 47760120 its reverse (2106774), we get a palindrome (49866894).

The spelling of 47760120 in words is "forty-seven million, seven hundred sixty thousand, one hundred twenty".