160776000 has 672 divisors, whose sum is σ = 741761280. Its totient is φ = 32256000.

The previous prime is 160775983. The next prime is 160776001. The reversal of 160776000 is 677061.

160776000 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 (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160776001) 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 95 ways as a sum of consecutive naturals, for example, 5543986 + ... + 5544014.

Almost surely, 2^160776000 is an apocalyptic number.

160776000 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 160776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370880640).

160776000 is an abundant number, since it is smaller than the sum of its proper divisors (580985280).

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

160776000 is a wasteful number, since it uses less digits than its factorization.

160776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 160776000 is about 12679.7476315580. The cubic root of 160776000 is about 543.7597699394.

The spelling of 160776000 in words is "one hundred sixty million, seven hundred seventy-six thousand".