160978800 has 120 divisors (see below), whose sum is σ = 519462784. Its totient is φ = 42612480.

The previous prime is 160978793. The next prime is 160978801. The reversal of 160978800 is 8879061.

160978800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160978801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 195189 + ... + 196011.

Almost surely, 2^160978800 is an apocalyptic number.

160978800 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 160978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259731392).

160978800 is an abundant number, since it is smaller than the sum of its proper divisors (358483984).

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

160978800 is a wasteful number, since it uses less digits than its factorization.

160978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 160978800 is about 12687.7421159164. The cubic root of 160978800 is about 543.9883035259.

The spelling of 160978800 in words is "one hundred sixty million, nine hundred seventy-eight thousand, eight hundred".