168796800 has 144 divisors (see below), whose sum is σ = 602408430. Its totient is φ = 45004800.

The previous prime is 168796783. The next prime is 168796811. The reversal of 168796800 is 8697861.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 121352256 + 47444544 = 11016^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25870 + ... + 31730.

Almost surely, 2^168796800 is an apocalyptic number.

168796800 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 168796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301204215).

168796800 is an abundant number, since it is smaller than the sum of its proper divisors (433611630).

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

168796800 is a wasteful number, since it uses less digits than its factorization.

168796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 168796800 is about 12992.1822647314. The cubic root of 168796800 is about 552.6558053110.

The spelling of 168796800 in words is "one hundred sixty-eight million, seven hundred ninety-six thousand, eight hundred".