800241855262080 has 768 divisors, whose sum is σ = 3254855460030720. Its totient is φ = 165365286912000.

The previous prime is 800241855262079. The next prime is 800241855262193. The reversal of 800241855262080 is 80262558142008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185177175 + ... + 189449385.

It is an arithmetic number, because the mean of its divisors is an integer number (4238093046915).

Almost surely, 2^{800241855262080} is an apocalyptic number.

800241855262080 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 800241855262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627427730015360).

800241855262080 is an abundant number, since it is smaller than the sum of its proper divisors (2454613604768640).

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

800241855262080 is a wasteful number, since it uses less digits than its factorization.

800241855262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272439 (or 4272420 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

The spelling of 800241855262080 in words is "eight hundred trillion, two hundred forty-one billion, eight hundred fifty-five million, two hundred sixty-two thousand, eighty".