805296427764480 has 864 divisors, whose sum is σ = 2956579708992000. Its totient is φ = 201802353868800.

The previous prime is 805296427764397. The next prime is 805296427764511. The reversal of 805296427764480 is 84467724692508.

805296427764480 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 9 + 64 + 27 + 7 + 64 + 480 = 666.

It is a super-3 number, since 3×805296427764480³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 805296427764399 and 805296427764408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36539597301 + ... + 36539619339.

Almost surely, 2^{805296427764480} is an apocalyptic number.

805296427764480 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 805296427764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478289854496000).

805296427764480 is an abundant number, since it is smaller than the sum of its proper divisors (2151283281227520).

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

805296427764480 is a wasteful number, since it uses less digits than its factorization.

805296427764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23425 (or 23408 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 805296427764480 in words is "eight hundred five trillion, two hundred ninety-six billion, four hundred twenty-seven million, seven hundred sixty-four thousand, four hundred eighty".