47678000 has 80 divisors (see below), whose sum is σ = 119159040. Its totient is φ = 18432000.

The previous prime is 47677997. The next prime is 47678009. The reversal of 47678000 is 87674.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47678009) 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, 61616 + ... + 62384.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^47678000 is an apocalyptic number.

47678000 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 47678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

47678000 is an abundant number, since it is smaller than the sum of its proper divisors (71481040).

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

47678000 is a wasteful number, since it uses less digits than its factorization.

47678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 807 counting only the distinct ones).

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

The square root of 47678000 is about 6904.9257780225. The cubic root of 47678000 is about 362.6096378633.

The spelling of 47678000 in words is "forty-seven million, six hundred seventy-eight thousand".