800717322240 has 1920 divisors, whose sum is σ = 3424861440000. Its totient is φ = 176770252800.

The previous prime is 800717322227. The next prime is 800717322247. The reversal of 800717322240 is 42223717008.

800717322240 is a `hidden beast` number, since 80 + 0 + 7 + 17 + 322 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-4 number, since 4×800717322240⁴ (a number of 49 digits) contains 4444 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 800717322195 and 800717322204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800717322247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5373941686 + ... + 5373941834.

It is an arithmetic number, because the mean of its divisors is an integer number (1783782000).

Almost surely, 2^800717322240 is an apocalyptic number.

800717322240 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 800717322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712430720000).

800717322240 is an abundant number, since it is smaller than the sum of its proper divisors (2624144117760).

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

800717322240 is a wasteful number, since it uses less digits than its factorization.

800717322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 800717322240 in words is "eight hundred billion, seven hundred seventeen million, three hundred twenty-two thousand, two hundred forty".