117766000 has 160 divisors (see below), whose sum is σ = 319640256. Its totient is φ = 41600000.

The previous prime is 117765997. The next prime is 117766007. The reversal of 117766000 is 667711.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 117766000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117766007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165950 + ... + 1166050.

Almost surely, 2^117766000 is an apocalyptic number.

117766000 is a gapful number since it is divisible by the number (10) 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 117766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159820128).

117766000 is an abundant number, since it is smaller than the sum of its proper divisors (201874256).

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

117766000 is a wasteful number, since it uses less digits than its factorization.

117766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 117766000 is about 10852.0044231469. The cubic root of 117766000 is about 490.1623785042.

The spelling of 117766000 in words is "one hundred seventeen million, seven hundred sixty-six thousand".