804692828160 has 896 divisors, whose sum is σ = 3123580158720. Its totient is φ = 197791580160.

The previous prime is 804692828129. The next prime is 804692828183. The reversal of 804692828160 is 61828296408.

804692828160 is a `hidden beast` number, since 80 + 469 + 28 + 2 + 81 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 804692828097 and 804692828106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1164533415 + ... + 1164534105.

It is an arithmetic number, because the mean of its divisors is an integer number (3486138570).

Almost surely, 2^804692828160 is an apocalyptic number.

804692828160 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 804692828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561790079360).

804692828160 is an abundant number, since it is smaller than the sum of its proper divisors (2318887330560).

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

804692828160 is an frugal number, since it uses more digits than its factorization.

804692828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 804692828160 in words is "eight hundred four billion, six hundred ninety-two million, eight hundred twenty-eight thousand, one hundred sixty".