161776800 has 108 divisors (see below), whose sum is σ = 570490830. Its totient is φ = 43138560.

The previous prime is 161776781. The next prime is 161776801. The reversal of 161776800 is 8677161.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 137452176 + 24324624 = 11724^2 + 4932^2 .

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 (161776801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4035 + ... + 18434.

Almost surely, 2^161776800 is an apocalyptic number.

161776800 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 161776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285245415).

161776800 is an abundant number, since it is smaller than the sum of its proper divisors (408714030).

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

161776800 is a wasteful number, since it uses less digits than its factorization.

161776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22495 (or 22479 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 161776800 is about 12719.1509150572. The cubic root of 161776800 is about 544.8857039447.

The spelling of 161776800 in words is "one hundred sixty-one million, seven hundred seventy-six thousand, eight hundred".