816436800 has 168 divisors, whose sum is σ = 2976372000. Its totient is φ = 217704960.

The previous prime is 816436793. The next prime is 816436807. The reversal of 816436800 is 8634618.

It is a happy number.

816436800 is a `hidden beast` number, since 8 + 1 + 643 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (816436793) and next prime (816436807).

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 (816436807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33751 + ... + 52649.

It is an arithmetic number, because the mean of its divisors is an integer number (17716500).

Almost surely, 2^816436800 is an apocalyptic number.

816436800 is a gapful number since it is divisible by the number (80) 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 816436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488186000).

816436800 is an abundant number, since it is smaller than the sum of its proper divisors (2159935200).

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

816436800 is a wasteful number, since it uses less digits than its factorization.

816436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18930 (or 18909 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 816436800 is about 28573.3582205522. The cubic root of 816436800 is about 934.6324539342.

The spelling of 816436800 in words is "eight hundred sixteen million, four hundred thirty-six thousand, eight hundred".