805630800 has 240 divisors, whose sum is σ = 2846220608. Its totient is φ = 193536000.

The previous prime is 805630789. The next prime is 805630831. The reversal of 805630800 is 8036508.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670200 + ... + 671400.

Almost surely, 2^805630800 is an apocalyptic number.

805630800 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 805630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423110304).

805630800 is an abundant number, since it is smaller than the sum of its proper divisors (2040589808).

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

805630800 is a wasteful number, since it uses less digits than its factorization.

805630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 805630800 is about 28383.6361307004. The cubic root of 805630800 is about 930.4906648875.

The spelling of 805630800 in words is "eight hundred five million, six hundred thirty thousand, eight hundred".