78833316407688 has 160 divisors (see below), whose sum is σ = 225559869004800. Its totient is φ = 25714644988032.

The previous prime is 78833316407653. The next prime is 78833316407719. The reversal of 78833316407688 is 88670461333887.

78833316407688 is a `hidden beast` number, since 7 + 88 + 33 + 31 + 6 + 407 + 6 + 88 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10157143 + ... + 16150361.

It is an arithmetic number, because the mean of its divisors is an integer number (1409749181280).

Almost surely, 2^{78833316407688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78833316407688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112779934502400).

78833316407688 is an abundant number, since it is smaller than the sum of its proper divisors (146726552597112).

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

78833316407688 is a wasteful number, since it uses less digits than its factorization.

78833316407688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993673 (or 5993660 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 78833316407688 in words is "seventy-eight trillion, eight hundred thirty-three billion, three hundred sixteen million, four hundred seven thousand, six hundred eighty-eight".