160120800 has 360 divisors, whose sum is σ = 669238416. Its totient is φ = 36495360.

The previous prime is 160120799. The next prime is 160120817. The reversal of 160120800 is 8021061.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×160120800³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453424 + ... + 453776.

Almost surely, 2^160120800 is an apocalyptic number.

160120800 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 160120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334619208).

160120800 is an abundant number, since it is smaller than the sum of its proper divisors (509117616).

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

160120800 is a wasteful number, since it uses less digits than its factorization.

160120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 160120800 is about 12653.8847789918. The cubic root of 160120800 is about 543.0201146360.

Adding to 160120800 its reverse (8021061), we get a palindrome (168141861).

The spelling of 160120800 in words is "one hundred sixty million, one hundred twenty thousand, eight hundred".