47773680 has 80 divisors (see below), whose sum is σ = 150359424. Its totient is φ = 12545280.

The previous prime is 47773679. The next prime is 47773703. The reversal of 47773680 is 8637774.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14595 + ... + 17565.

Almost surely, 2^47773680 is an apocalyptic number.

47773680 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 47773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75179712).

47773680 is an abundant number, since it is smaller than the sum of its proper divisors (102585744).

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

47773680 is a wasteful number, since it uses less digits than its factorization.

47773680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 47773680 is about 6911.8506928318. The cubic root of 47773680 is about 362.8520369275.

The spelling of 47773680 in words is "forty-seven million, seven hundred seventy-three thousand, six hundred eighty".