168780440 has 64 divisors (see below), whose sum is σ = 398131200. Its totient is φ = 64273792.

The previous prime is 168780407. The next prime is 168780481. The reversal of 168780440 is 44087861.

It is a junction number, because it is equal to n+sod(n) for n = 168780394 and 168780403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352121 + ... + 352599.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2^168780440 is an apocalyptic number.

168780440 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 168780440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

168780440 is an abundant number, since it is smaller than the sum of its proper divisors (229350760).

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

168780440 is a wasteful number, since it uses less digits than its factorization.

168780440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 168780440 is about 12991.5526400812. The cubic root of 168780440 is about 552.6379500336.

The spelling of 168780440 in words is "one hundred sixty-eight million, seven hundred eighty thousand, four hundred forty".