806317088031840 has 3456 divisors, whose sum is σ = 3481106896512000. Its totient is φ = 155843362160640.

The previous prime is 806317088031823. The next prime is 806317088031857. The reversal of 806317088031840 is 48130880713608.

It is an interprime number because it is at equal distance from previous prime (806317088031823) and next prime (806317088031857).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1417077483076 + ... + 1417077483644.

It is an arithmetic number, because the mean of its divisors is an integer number (1007264727000).

Almost surely, 2^{806317088031840} is an apocalyptic number.

806317088031840 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 806317088031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740553448256000).

806317088031840 is an abundant number, since it is smaller than the sum of its proper divisors (2674789808480160).

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

806317088031840 is a wasteful number, since it uses less digits than its factorization.

806317088031840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 806317088031840 in words is "eight hundred six trillion, three hundred seventeen billion, eighty-eight million, thirty-one thousand, eight hundred forty".