47978080 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 17448960.

The previous prime is 47978057. The next prime is 47978083. The reversal of 47978080 is 8087974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47978083) 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 15 ways as a sum of consecutive naturals, for example, 84036 + ... + 84604.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^47978080 is an apocalyptic number.

47978080 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 47978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

47978080 is an abundant number, since it is smaller than the sum of its proper divisors (76126880).

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

47978080 is a wasteful number, since it uses less digits than its factorization.

47978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 47978080 is about 6926.6211098919. The cubic root of 47978080 is about 363.3687889162.

The spelling of 47978080 in words is "forty-seven million, nine hundred seventy-eight thousand, eighty".