396800 has 60 divisors (see below), whose sum is σ = 1014816. Its totient is φ = 153600.

The previous prime is 396733. The next prime is 396833. The reversal of 396800 is 8693.

396800 = 5³ + 6³ + ... + 35³.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 396800.

It is a congruent number.

It is an unprimeable number.

396800 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 12785 + ... + 12815.

2³⁹⁶⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507408).

396800 is an abundant number, since it is smaller than the sum of its proper divisors (618016).

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

396800 is an equidigital number, since it uses as much as digits as its factorization.

396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 396800 is about 629.9206299209. The cubic root of 396800 is about 73.4836220006.

The spelling of 396800 in words is "three hundred ninety-six thousand, eight hundred".