804992680800 has 864 divisors, whose sum is σ = 3551112714240. Its totient is φ = 166700851200.

The previous prime is 804992680763. The next prime is 804992680801. The reversal of 804992680800 is 8086299408.

804992680800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×804992680800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804992680801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 173524881 + ... + 173529519.

It is an arithmetic number, because the mean of its divisors is an integer number (4110084160).

Almost surely, 2^804992680800 is an apocalyptic number.

804992680800 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 804992680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775556357120).

804992680800 is an abundant number, since it is smaller than the sum of its proper divisors (2746120033440).

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

804992680800 is a wasteful number, since it uses less digits than its factorization.

804992680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 804992680800 in words is "eight hundred four billion, nine hundred ninety-two million, six hundred eighty thousand, eight hundred".