78085922880 has 448 divisors, whose sum is σ = 288918213120. Its totient is φ = 17500471296.

The previous prime is 78085922851. The next prime is 78085922881. The reversal of 78085922880 is 8822958087.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×78085922880² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78085922880.

It is not an unprimeable number, because it can be changed into a prime (78085922881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81936484 + ... + 81937436.

Almost surely, 2^78085922880 is an apocalyptic number.

78085922880 is a gapful number since it is divisible by the number (70) 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 78085922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144459106560).

78085922880 is an abundant number, since it is smaller than the sum of its proper divisors (210832290240).

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

78085922880 is a wasteful number, since it uses less digits than its factorization.

78085922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 78085922880 in words is "seventy-eight billion, eighty-five million, nine hundred twenty-two thousand, eight hundred eighty".