47782000 has 80 divisors (see below), whose sum is σ = 132080832. Its totient is φ = 16377600.

The previous prime is 47781961. The next prime is 47782013. The reversal of 47782000 is 28774.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 47782000.

It is a congruent number.

It is an unprimeable number.

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, 12294 + ... + 15706.

Almost surely, 2^47782000 is an apocalyptic number.

47782000 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 47782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66040416).

47782000 is an abundant number, since it is smaller than the sum of its proper divisors (84298832).

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

47782000 is a wasteful number, since it uses less digits than its factorization.

47782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 47782000 is about 6912.4525314826. The cubic root of 47782000 is about 362.8730998064.

The spelling of 47782000 in words is "forty-seven million, seven hundred eighty-two thousand".