117780000 has 240 divisors, whose sum is σ = 418815936. Its totient is φ = 28800000.

The previous prime is 117779999. The next prime is 117780007. The reversal of 117780000 is 87711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117780007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779925 + ... + 780075.

Almost surely, 2^117780000 is an apocalyptic number.

117780000 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 117780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209407968).

117780000 is an abundant number, since it is smaller than the sum of its proper divisors (301035936).

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

117780000 is a wasteful number, since it uses less digits than its factorization.

117780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 117780000 is about 10852.6494461030. The cubic root of 117780000 is about 490.1818012051.

The spelling of 117780000 in words is "one hundred seventeen million, seven hundred eighty thousand".