800311812480 has 1024 divisors, whose sum is σ = 3233522073600. Its totient is φ = 185883033600.

The previous prime is 800311812473. The next prime is 800311812499. The reversal of 800311812480 is 84218113008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 209448970 + ... + 209452790.

It is an arithmetic number, because the mean of its divisors is an integer number (3157736400).

Almost surely, 2^800311812480 is an apocalyptic number.

800311812480 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 800311812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616761036800).

800311812480 is an abundant number, since it is smaller than the sum of its proper divisors (2433210261120).

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

800311812480 is a wasteful number, since it uses less digits than its factorization.

800311812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 800311812480 its reverse (84218113008), we get a palindrome (884529925488).

The spelling of 800311812480 in words is "eight hundred billion, three hundred eleven million, eight hundred twelve thousand, four hundred eighty".