78908814981360 has 960 divisors, whose sum is σ = 337618551029760. Its totient is φ = 16066803548160.

The previous prime is 78908814981331. The next prime is 78908814981361. The reversal of 78908814981360 is 6318941880987.

78908814981360 is a `hidden beast` number, since 7 + 8 + 90 + 88 + 14 + 98 + 1 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78908814981361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 729117972 + ... + 729226188.

It is an arithmetic number, because the mean of its divisors is an integer number (351685990656).

Almost surely, 2^{78908814981360} is an apocalyptic number.

78908814981360 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 78908814981360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168809275514880).

78908814981360 is an abundant number, since it is smaller than the sum of its proper divisors (258709736048400).

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

78908814981360 is a wasteful number, since it uses less digits than its factorization.

78908814981360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108646 (or 108637 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 78908814981360 in words is "seventy-eight trillion, nine hundred eight billion, eight hundred fourteen million, nine hundred eighty-one thousand, three hundred sixty".