805484800 has 108 divisors (see below), whose sum is σ = 2011426816. Its totient is φ = 319334400.

The previous prime is 805484789. The next prime is 805484807. The reversal of 805484800 is 8484508.

It is a self number, because there is not a number n which added to its sum of digits gives 805484800.

It is not an unprimeable number, because it can be changed into a prime (805484807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 812305 + ... + 813295.

Almost surely, 2^805484800 is an apocalyptic number.

805484800 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 805484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005713408).

805484800 is an abundant number, since it is smaller than the sum of its proper divisors (1205942016).

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

805484800 is a wasteful number, since it uses less digits than its factorization.

805484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 805484800 is about 28381.0641097194. The cubic root of 805484800 is about 930.4344522715.

It can be divided in two parts, 805 and 484800, that added together give a triangular number (485605 = T₉₈₅).

The spelling of 805484800 in words is "eight hundred five million, four hundred eighty-four thousand, eight hundred".