816870708480 has 576 divisors, whose sum is σ = 2793639518208. Its totient is φ = 202946641920.

The previous prime is 816870708443. The next prime is 816870708491. The reversal of 816870708480 is 84807078618.

It is a Cunningham number, because it is equal to 903809²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 816870708480.

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 63 ways as a sum of consecutive naturals, for example, 1274368960 + ... + 1274369600.

It is an arithmetic number, because the mean of its divisors is an integer number (4850068608).

Almost surely, 2^816870708480 is an apocalyptic number.

816870708480 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 816870708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396819759104).

816870708480 is an abundant number, since it is smaller than the sum of its proper divisors (1976768809728).

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

816870708480 is a wasteful number, since it uses less digits than its factorization.

816870708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 57.

The spelling of 816870708480 in words is "eight hundred sixteen billion, eight hundred seventy million, seven hundred eight thousand, four hundred eighty".