78802809126912 has 864 divisors, whose sum is σ = 257418872762688. Its totient is φ = 23944438480896.

The previous prime is 78802809126911. The next prime is 78802809126913. The reversal of 78802809126912 is 21962190820887.

78802809126912 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 280 + 91 + 269 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (78802809126911) and next prime (78802809126913).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×78802809126912³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78802809126912.

It is not an unprimeable number, because it can be changed into a prime (78802809126911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34366684038 + ... + 34366686330.

It is an arithmetic number, because the mean of its divisors is an integer number (297938510142).

Almost surely, 2^{78802809126912} is an apocalyptic number.

78802809126912 is a gapful number since it is divisible by the number (72) 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 78802809126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128709436381344).

78802809126912 is an abundant number, since it is smaller than the sum of its proper divisors (178616063635776).

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

78802809126912 is an frugal number, since it uses more digits than its factorization.

78802809126912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 78802809126912 in words is "seventy-eight trillion, eight hundred two billion, eight hundred nine million, one hundred twenty-six thousand, nine hundred twelve".