47766000 has 160 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 12038400.

The previous prime is 47765983. The next prime is 47766011. The reversal of 47766000 is 66774.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113791 + ... + 114209.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^47766000 is an apocalyptic number.

47766000 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 47766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

47766000 is an abundant number, since it is smaller than the sum of its proper divisors (114723600).

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

47766000 is a wasteful number, since it uses less digits than its factorization.

47766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 47766000 is about 6911.2951029456. The cubic root of 47766000 is about 362.8325920994.

The spelling of 47766000 in words is "forty-seven million, seven hundred sixty-six thousand".