47760320 has 28 divisors (see below), whose sum is σ = 113730024. Its totient is φ = 19104000.

The previous prime is 47760313. The next prime is 47760329. The reversal of 47760320 is 2306774.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47760329) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 74306 + ... + 74945.

Almost surely, 2^47760320 is an apocalyptic number.

47760320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47760320 is an abundant number, since it is smaller than the sum of its proper divisors (65969704).

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

47760320 is a wasteful number, since it uses less digits than its factorization.

47760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149268 (or 149258 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 47760320 is about 6910.8841691928. The cubic root of 47760320 is about 362.8182096878.

The spelling of 47760320 in words is "forty-seven million, seven hundred sixty thousand, three hundred twenty".