396802800 has 300 divisors, whose sum is σ = 1467001096. Its totient is φ = 102643200.

The previous prime is 396802793. The next prime is 396802801. The reversal of 396802800 is 8208693.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396802801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1198635 + ... + 1198965.

Almost surely, 2^396802800 is an apocalyptic number.

396802800 is a gapful number since it is divisible by the number (30) 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 396802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733500548).

396802800 is an abundant number, since it is smaller than the sum of its proper divisors (1070198296).

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

396802800 is a wasteful number, since it uses less digits than its factorization.

396802800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 396802800 is about 19919.9096383493. The cubic root of 396802800 is about 734.8379484470.

The spelling of 396802800 in words is "three hundred ninety-six million, eight hundred two thousand, eight hundred".