160480800 has 216 divisors, whose sum is σ = 584962560. Its totient is φ = 41356800.

The previous prime is 160480787. The next prime is 160480811. The reversal of 160480800 is 8084061.

160480800 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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222841 + ... + 223559.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^160480800 is an apocalyptic number.

160480800 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 160480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

160480800 is an abundant number, since it is smaller than the sum of its proper divisors (424481760).

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

160480800 is a wasteful number, since it uses less digits than its factorization.

160480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 160480800 is about 12668.1016731000. The cubic root of 160480800 is about 543.4267678610.

The spelling of 160480800 in words is "one hundred sixty million, four hundred eighty thousand, eight hundred".