800845387776 has 1152 divisors, whose sum is σ = 2893972536000. Its totient is φ = 220723937280.

The previous prime is 800845387733. The next prime is 800845387781. The reversal of 800845387776 is 677783548008.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8998262740 + ... + 8998262828.

Almost surely, 2^800845387776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800845387776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446986268000).

800845387776 is an abundant number, since it is smaller than the sum of its proper divisors (2093127148224).

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

800845387776 is an frugal number, since it uses more digits than its factorization.

800845387776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 800845387776 in words is "eight hundred billion, eight hundred forty-five million, three hundred eighty-seven thousand, seven hundred seventy-six".