804216879360 has 216 divisors, whose sum is σ = 2810060266104. Its totient is φ = 212334182400.

The previous prime is 804216879359. The next prime is 804216879383. The reversal of 804216879360 is 63978612408.

804216879360 is a `hidden beast` number, since 80 + 42 + 168 + 7 + 9 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317392517376 + 486824361984 = 563376^2 + 697728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 804216879297 and 804216879306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817924 + ... + 1509116.

It is an arithmetic number, because the mean of its divisors is an integer number (13009538269).

Almost surely, 2^804216879360 is an apocalyptic number.

804216879360 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 804216879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405030133052).

804216879360 is an abundant number, since it is smaller than the sum of its proper divisors (2005843386744).

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

804216879360 is a wasteful number, since it uses less digits than its factorization.

804216879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691321 (or 691304 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 804216879360 in words is "eight hundred four billion, two hundred sixteen million, eight hundred seventy-nine thousand, three hundred sixty".