168400782 has 100 divisors (see below), whose sum is σ = 420920280. Its totient is φ = 50311800.

The previous prime is 168400723. The next prime is 168400829. The reversal of 168400782 is 287004861.

168400782 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 2371807 + ... + 2371877.

Almost surely, 2^168400782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168400782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210460140).

168400782 is an abundant number, since it is smaller than the sum of its proper divisors (252519498).

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

168400782 is an frugal number, since it uses more digits than its factorization.

168400782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 168400782 is about 12976.9326884283. The cubic root of 168400782 is about 552.2232674333.

The spelling of 168400782 in words is "one hundred sixty-eight million, four hundred thousand, seven hundred eighty-two".