804781563600 has 1920 divisors, whose sum is σ = 3400925184000. Its totient is φ = 158505984000.

The previous prime is 804781563589. The next prime is 804781563601. The reversal of 804781563600 is 6365187408.

It is a super-2 number, since 2×804781563600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 804781563600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804781563601) 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 383 ways as a sum of consecutive naturals, for example, 10187108361 + ... + 10187108439.

It is an arithmetic number, because the mean of its divisors is an integer number (1771315200).

Almost surely, 2^804781563600 is an apocalyptic number.

804781563600 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 804781563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700462592000).

804781563600 is an abundant number, since it is smaller than the sum of its proper divisors (2596143620400).

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

804781563600 is a wasteful number, since it uses less digits than its factorization.

804781563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 804781563600 in words is "eight hundred four billion, seven hundred eighty-one million, five hundred sixty-three thousand, six hundred".