805001379840 has 1440 divisors, whose sum is σ = 3400679842560. Its totient is φ = 178872385536.

The previous prime is 805001379829. The next prime is 805001379881. The reversal of 805001379840 is 48973100508.

805001379840 is a `hidden beast` number, since 8 + 0 + 500 + 13 + 7 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 7385333706 + ... + 7385333814.

It is an arithmetic number, because the mean of its divisors is an integer number (2361583224).

Almost surely, 2^805001379840 is an apocalyptic number.

805001379840 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 805001379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700339921280).

805001379840 is an abundant number, since it is smaller than the sum of its proper divisors (2595678462720).

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

805001379840 is an equidigital number, since it uses as much as digits as its factorization.

805001379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 805001379840 in words is "eight hundred five billion, one million, three hundred seventy-nine thousand, eight hundred forty".