809480355840 has 1728 divisors, whose sum is σ = 3462602846976. Its totient is φ = 179381993472.

The previous prime is 809480355821. The next prime is 809480355877. The reversal of 809480355840 is 48553084908.

809480355840 is a `hidden beast` number, since 8 + 0 + 9 + 4 + 80 + 3 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35194798069 + ... + 35194798091.

It is an arithmetic number, because the mean of its divisors is an integer number (2003821092).

Almost surely, 2^809480355840 is an apocalyptic number.

809480355840 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 809480355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731301423488).

809480355840 is an abundant number, since it is smaller than the sum of its proper divisors (2653122491136).

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

809480355840 is an equidigital number, since it uses as much as digits as its factorization.

809480355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 809480355840 in words is "eight hundred nine billion, four hundred eighty million, three hundred fifty-five thousand, eight hundred forty".