805347878400 has 960 divisors, whose sum is σ = 3224161765440. Its totient is φ = 198149898240.

The previous prime is 805347878393. The next prime is 805347878411. The reversal of 805347878400 is 4878743508.

It is a happy number.

805347878400 is a `hidden beast` number, since 80 + 53 + 47 + 8 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 363915694 + ... + 363917906.

It is an arithmetic number, because the mean of its divisors is an integer number (3358501839).

Almost surely, 2^805347878400 is an apocalyptic number.

805347878400 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 805347878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612080882720).

805347878400 is an abundant number, since it is smaller than the sum of its proper divisors (2418813887040).

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

805347878400 is an equidigital number, since it uses as much as digits as its factorization.

805347878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 805347878400 in words is "eight hundred five billion, three hundred forty-seven million, eight hundred seventy-eight thousand, four hundred".