47768720 has 40 divisors (see below), whose sum is σ = 111433344. Its totient is φ = 19043712.

The previous prime is 47768719. The next prime is 47768753. The reversal of 47768720 is 2786774.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×47768720² = 4563701220876800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28547 + ... + 30173.

Almost surely, 2^47768720 is an apocalyptic number.

47768720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47768720 is an abundant number, since it is smaller than the sum of its proper divisors (63664624).

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

47768720 is a wasteful number, since it uses less digits than its factorization.

47768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 47768720 is about 6911.4918794715. The cubic root of 47768720 is about 362.8394790477.

The spelling of 47768720 in words is "forty-seven million, seven hundred sixty-eight thousand, seven hundred twenty".