47760080 has 40 divisors (see below), whose sum is σ = 113758344. Its totient is φ = 18636800.

The previous prime is 47760073. The next prime is 47760101. The reversal of 47760080 is 8006774.

It can be written as a sum of positive squares in 4 ways, for example, as 3297856 + 44462224 = 1816^2 + 6668^2 .

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

It is a congruent number.

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, 4001 + ... + 10560.

Almost surely, 2^47760080 is an apocalyptic number.

47760080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47760080 is an abundant number, since it is smaller than the sum of its proper divisors (65998264).

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

47760080 is a wasteful number, since it uses less digits than its factorization.

47760080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14615 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 47760080 is about 6910.8668052568. The cubic root of 47760080 is about 362.8176019551.

The spelling of 47760080 in words is "forty-seven million, seven hundred sixty thousand, eighty".