805265222400 has 324 divisors, whose sum is σ = 2905933742712. Its totient is φ = 212728872960.

The previous prime is 805265222357. The next prime is 805265222401. The reversal of 805265222400 is 4222562508.

805265222400 is a `hidden beast` number, since 8 + 0 + 5 + 26 + 5 + 222 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (805265222401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6097872 + ... + 6228528.

Almost surely, 2^805265222400 is an apocalyptic number.

805265222400 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 805265222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452966871356).

805265222400 is an abundant number, since it is smaller than the sum of its proper divisors (2100668520312).

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

805265222400 is a wasteful number, since it uses less digits than its factorization.

805265222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130796 (or 130774 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 805265222400 its reverse (4222562508), we get a palindrome (809487784908).

The spelling of 805265222400 in words is "eight hundred five billion, two hundred sixty-five million, two hundred twenty-two thousand, four hundred".