47878880 has 144 divisors (see below), whose sum is σ = 136515456. Its totient is φ = 15805440.

The previous prime is 47878867. The next prime is 47878889. The reversal of 47878880 is 8887874.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47878889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242942 + ... + 243138.

It is an arithmetic number, because the mean of its divisors is an integer number (948024).

Almost surely, 2^47878880 is an apocalyptic number.

47878880 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 47878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68257728).

47878880 is an abundant number, since it is smaller than the sum of its proper divisors (88636576).

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

47878880 is a wasteful number, since it uses less digits than its factorization.

47878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 50.

The square root of 47878880 is about 6919.4566260654. The cubic root of 47878880 is about 363.1181810303.

The spelling of 47878880 in words is "forty-seven million, eight hundred seventy-eight thousand, eight hundred eighty".