160807680 has 432 divisors, whose sum is σ = 642829824. Its totient is φ = 38154240.

The previous prime is 160807663. The next prime is 160807681. The reversal of 160807680 is 86708061.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (160807681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421417 + ... + 3421463.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^160807680 is an apocalyptic number.

160807680 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 160807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912).

160807680 is an abundant number, since it is smaller than the sum of its proper divisors (482022144).

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

160807680 is an equidigital number, since it uses as much as digits as its factorization.

160807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 160807680 is about 12680.9968062452. The cubic root of 160807680 is about 543.7954825213.

The spelling of 160807680 in words is "one hundred sixty million, eight hundred seven thousand, six hundred eighty".