805537127340 has 192 divisors, whose sum is σ = 2734542720000. Its totient is φ = 195238978560.

The previous prime is 805537127321. The next prime is 805537127341. The reversal of 805537127340 is 43721735508.

805537127340 is a `hidden beast` number, since 8 + 0 + 5 + 5 + 371 + 273 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (805537127341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33483636 + ... + 33507684.

It is an arithmetic number, because the mean of its divisors is an integer number (14242410000).

Almost surely, 2^805537127340 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 805537127340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367271360000).

805537127340 is an abundant number, since it is smaller than the sum of its proper divisors (1929005592660).

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

805537127340 is a wasteful number, since it uses less digits than its factorization.

805537127340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29717 (or 29709 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 805537127340 in words is "eight hundred five billion, five hundred thirty-seven million, one hundred twenty-seven thousand, three hundred forty".