805407031296 has 416 divisors, whose sum is σ = 2748779028480. Its totient is φ = 228304355328.

The previous prime is 805407031267. The next prime is 805407031339. The reversal of 805407031296 is 692130704508.

805407031296 is a `hidden beast` number, since 8 + 0 + 540 + 7 + 0 + 3 + 12 + 96 = 666.

It is a super-2 number, since 2×805407031296² (a number of 25 digits) contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6341787585 + ... + 6341787711.

It is a 1-persistent number, because it is pandigital, but 2⋅805407031296 = 1610814062592 is not.

Almost surely, 2^805407031296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805407031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374389514240).

805407031296 is an abundant number, since it is smaller than the sum of its proper divisors (1943371997184).

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

805407031296 is an frugal number, since it uses more digits than its factorization.

805407031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 805407031296 in words is "eight hundred five billion, four hundred seven million, thirty-one thousand, two hundred ninety-six".