805610480400 has 1200 divisors, whose sum is σ = 3339962419200. Its totient is φ = 183917952000.

The previous prime is 805610480369. The next prime is 805610480449. The reversal of 805610480400 is 4084016508.

805610480400 is a `hidden beast` number, since 80 + 5 + 61 + 0 + 480 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×805610480400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1835103381 + ... + 1835103819.

It is an arithmetic number, because the mean of its divisors is an integer number (2783302016).

Almost surely, 2^805610480400 is an apocalyptic number.

805610480400 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 805610480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669981209600).

805610480400 is an abundant number, since it is smaller than the sum of its proper divisors (2534351938800).

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

805610480400 is a wasteful number, since it uses less digits than its factorization.

805610480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 805610480400 its reverse (4084016508), we get a palindrome (809694496908).

The spelling of 805610480400 in words is "eight hundred five billion, six hundred ten million, four hundred eighty thousand, four hundred".