805378837455360 has 2240 divisors, whose sum is σ = 3428705797355520. Its totient is φ = 177462045573120.

The previous prime is 805378837455323. The next prime is 805378837455469. The reversal of 805378837455360 is 63554738873508.

805378837455360 is a `hidden beast` number, since 8 + 0 + 5 + 3 + 7 + 8 + 8 + 3 + 7 + 4 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 108938023824 + ... + 108938031216.

Almost surely, 2^{805378837455360} is an apocalyptic number.

805378837455360 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 805378837455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714352898677760).

805378837455360 is an abundant number, since it is smaller than the sum of its proper divisors (2623326959900160).

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

805378837455360 is an equidigital number, since it uses as much as digits as its factorization.

805378837455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 805378837455360 in words is "eight hundred five trillion, three hundred seventy-eight billion, eight hundred thirty-seven million, four hundred fifty-five thousand, three hundred sixty".