817038078080 has 128 divisors (see below), whose sum is σ = 2233563914880. Its totient is φ = 279964311552.

The previous prime is 817038078019. The next prime is 817038078113. The reversal of 817038078080 is 80870830718.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7774364 + ... + 7878756.

It is an arithmetic number, because the mean of its divisors is an integer number (17449718085).

Almost surely, 2^817038078080 is an apocalyptic number.

817038078080 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 817038078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116781957440).

817038078080 is an abundant number, since it is smaller than the sum of its proper divisors (1416525836800).

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

817038078080 is a wasteful number, since it uses less digits than its factorization.

817038078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106166 (or 106154 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 50.

The spelling of 817038078080 in words is "eight hundred seventeen billion, thirty-eight million, seventy-eight thousand, eighty".