168378880 has 160 divisors (see below), whose sum is σ = 441494064. Its totient is φ = 61341696.

The previous prime is 168378877. The next prime is 168378907. The reversal of 168378880 is 88873861.

It can be written as a sum of positive squares in 8 ways, for example, as 120824064 + 47554816 = 10992^2 + 6896^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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, 2306524 + ... + 2306596.

Almost surely, 2^168378880 is an apocalyptic number.

168378880 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 168378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220747032).

168378880 is an abundant number, since it is smaller than the sum of its proper divisors (273115184).

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

168378880 is an equidigital number, since it uses as much as digits as its factorization.

168378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The square root of 168378880 is about 12976.0887789811. The cubic root of 168378880 is about 552.1993259008.

The spelling of 168378880 in words is "one hundred sixty-eight million, three hundred seventy-eight thousand, eight hundred eighty".