804645600 has 288 divisors, whose sum is σ = 2958560640. Its totient is φ = 188160000.

The previous prime is 804645577. The next prime is 804645601. The reversal of 804645600 is 6546408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804645601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765075 + ... + 766125.

It is an arithmetic number, because the mean of its divisors is an integer number (10272780).

Almost surely, 2^804645600 is an apocalyptic number.

804645600 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 804645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479280320).

804645600 is an abundant number, since it is smaller than the sum of its proper divisors (2153915040).

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

804645600 is a wasteful number, since it uses less digits than its factorization.

804645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 804645600 is about 28366.2757513213. The cubic root of 804645600 is about 930.1112134315. Note that the first 3 decimals are identical.

The spelling of 804645600 in words is "eight hundred four million, six hundred forty-five thousand, six hundred".