156800 has 72 divisors (see below), whose sum is σ = 450585. Its totient is φ = 53760.

The previous prime is 156799. The next prime is 156817. The reversal of 156800 is 8651.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 3136 = 392^2 + 56^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=280.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22397 + ... + 22403.

2¹⁵⁶⁸⁰⁰ is an apocalyptic number.

156800 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 156800

156800 is an abundant number, since it is smaller than the sum of its proper divisors (293785).

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

156800 is an equidigital number, since it uses as much as digits as its factorization.

156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 156800 is about 395.9797974645. The cubic root of 156800 is about 53.9239899955.

The spelling of 156800 in words is "one hundred fifty-six thousand, eight hundred".