168780000 has 240 divisors, whose sum is σ = 578627280. Its totient is φ = 43008000.

The previous prime is 168779999. The next prime is 168780019. The reversal of 168780000 is 87861.

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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 168780000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1739952 + ... + 1740048.

It is an arithmetic number, because the mean of its divisors is an integer number (2410947).

Almost surely, 2^168780000 is an apocalyptic number.

168780000 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 168780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289313640).

168780000 is an abundant number, since it is smaller than the sum of its proper divisors (409847280).

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

168780000 is an equidigital number, since it uses as much as digits as its factorization.

168780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 168780000 is about 12991.5357059895. The cubic root of 168780000 is about 552.6374698023.

The spelling of 168780000 in words is "one hundred sixty-eight million, seven hundred eighty thousand".