800933244480 has 224 divisors, whose sum is σ = 2831081155200. Its totient is φ = 213161416704.

The previous prime is 800933244473. The next prime is 800933244481. The reversal of 800933244480 is 84442339008.

800933244480 is a `hidden beast` number, since 80 + 0 + 93 + 3 + 2 + 4 + 4 + 480 = 666.

It is a super-2 number, since 2×800933244480² (a number of 25 digits) contains 22 as substring.

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 (800933244481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4306699 + ... + 4488821.

Almost surely, 2^800933244480 is an apocalyptic number.

800933244480 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 800933244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415540577600).

800933244480 is an abundant number, since it is smaller than the sum of its proper divisors (2030147910720).

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

800933244480 is a wasteful number, since it uses less digits than its factorization.

800933244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182658 (or 182642 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 800933244480 in words is "eight hundred billion, nine hundred thirty-three million, two hundred forty-four thousand, four hundred eighty".