117770400 has 216 divisors, whose sum is σ = 453345984. Its totient is φ = 28531200.

The previous prime is 117770383. The next prime is 117770437. The reversal of 117770400 is 4077711.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78457 + ... + 79943.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^117770400 is an apocalyptic number.

117770400 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 117770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226672992).

117770400 is an abundant number, since it is smaller than the sum of its proper divisors (335575584).

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

117770400 is a wasteful number, since it uses less digits than its factorization.

117770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 117770400 is about 10852.2071487785. The cubic root of 117770400 is about 490.1684829475.

The spelling of 117770400 in words is "one hundred seventeen million, seven hundred seventy thousand, four hundred".