805200480 has 192 divisors, whose sum is σ = 3220922880. Its totient is φ = 184038912.

The previous prime is 805200397. The next prime is 805200493. The reversal of 805200480 is 84002508.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 16927 + ... + 43553.

It is an arithmetic number, because the mean of its divisors is an integer number (16775640).

Almost surely, 2^805200480 is an apocalyptic number.

805200480 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 805200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610461440).

805200480 is an abundant number, since it is smaller than the sum of its proper divisors (2415722400).

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

805200480 is a wasteful number, since it uses less digits than its factorization.

805200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26658 (or 26644 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 805200480 is about 28376.0546940550. The cubic root of 805200480 is about 930.3249644800.

Adding to 805200480 its reverse (84002508), we get a palindrome (889202988).

The spelling of 805200480 in words is "eight hundred five million, two hundred thousand, four hundred eighty".