800666428320 has 1440 divisors, whose sum is σ = 3293662901760. Its totient is φ = 182659276800.

The previous prime is 800666428301. The next prime is 800666428337. The reversal of 800666428320 is 23824666008.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2849346580 + ... + 2849346860.

It is an arithmetic number, because the mean of its divisors is an integer number (2287265904).

Almost surely, 2^800666428320 is an apocalyptic number.

800666428320 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 800666428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646831450880).

800666428320 is an abundant number, since it is smaller than the sum of its proper divisors (2492996473440).

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

800666428320 is a wasteful number, since it uses less digits than its factorization.

800666428320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 404 counting only the distinct ones).

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

The spelling of 800666428320 in words is "eight hundred billion, six hundred sixty-six million, four hundred twenty-eight thousand, three hundred twenty".