800883728640 has 720 divisors, whose sum is σ = 3004025004288. Its totient is φ = 203347279872.

The previous prime is 800883728611. The next prime is 800883728647. The reversal of 800883728640 is 46827388008.

800883728640 is a `hidden beast` number, since 80 + 0 + 88 + 372 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (800883728647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 627159682 + ... + 627160958.

Almost surely, 2^800883728640 is an apocalyptic number.

800883728640 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 800883728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502012502144).

800883728640 is an abundant number, since it is smaller than the sum of its proper divisors (2203141275648).

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

800883728640 is a wasteful number, since it uses less digits than its factorization.

800883728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 800883728640 in words is "eight hundred billion, eight hundred eighty-three million, seven hundred twenty-eight thousand, six hundred forty".