800712511488 has 728 divisors, whose sum is σ = 2552611786560. Its totient is φ = 250504151040.

The previous prime is 800712511463. The next prime is 800712511513. The reversal of 800712511488 is 884115217008.

800712511488 is a `hidden beast` number, since 80 + 0 + 7 + 12 + 511 + 48 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (800712511463) and next prime (800712511513).

It is a super-2 number, since 2×800712511488² (a number of 25 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 6112309183 + ... + 6112309313.

Almost surely, 2^800712511488 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 800712511488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276305893280).

800712511488 is an abundant number, since it is smaller than the sum of its proper divisors (1751899275072).

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

800712511488 is an equidigital number, since it uses as much as digits as its factorization.

800712511488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 800712511488 in words is "eight hundred billion, seven hundred twelve million, five hundred eleven thousand, four hundred eighty-eight".