47278080 has 288 divisors, whose sum is σ = 178869600. Its totient is φ = 11943936.

The previous prime is 47278009. The next prime is 47278093. The reversal of 47278080 is 8087274.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488311 + ... + 2488329.

It is an arithmetic number, because the mean of its divisors is an integer number (621075).

Almost surely, 2^47278080 is an apocalyptic number.

47278080 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 47278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

47278080 is an abundant number, since it is smaller than the sum of its proper divisors (131591520).

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

47278080 is an equidigital number, since it uses as much as digits as its factorization.

47278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 47278080 is about 6875.9057585165. The cubic root of 47278080 is about 361.5929411001.

The spelling of 47278080 in words is "forty-seven million, two hundred seventy-eight thousand, eighty".