160778772 has 144 divisors (see below), whose sum is σ = 523321344. Its totient is φ = 40392000.

The previous prime is 160778771. The next prime is 160778791. The reversal of 160778772 is 277877061.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160778771) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84997 + ... + 86867.

It is an arithmetic number, because the mean of its divisors is an integer number (3634176).

Almost surely, 2^160778772 is an apocalyptic number.

160778772 is a gapful number since it is divisible by the number (12) 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 160778772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261660672).

160778772 is an abundant number, since it is smaller than the sum of its proper divisors (362542572).

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

160778772 is a wasteful number, since it uses less digits than its factorization.

160778772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The square root of 160778772 is about 12679.8569392561. The cubic root of 160778772 is about 543.7628949776.

The spelling of 160778772 in words is "one hundred sixty million, seven hundred seventy-eight thousand, seven hundred seventy-two".