78286310784 has 768 divisors, whose sum is σ = 269602744320. Its totient is φ = 22581504000.

The previous prime is 78286310783. The next prime is 78286310821. The reversal of 78286310784 is 48701368287.

It is a happy number.

It is a super-2 number, since 2×78286310784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 78286310784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78286310783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1283382114 + ... + 1283382174.

It is an arithmetic number, because the mean of its divisors is an integer number (351045240).

Almost surely, 2^78286310784 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 78286310784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134801372160).

78286310784 is an abundant number, since it is smaller than the sum of its proper divisors (191316433536).

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

78286310784 is an equidigital number, since it uses as much as digits as its factorization.

78286310784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 78286310784 in words is "seventy-eight billion, two hundred eighty-six million, three hundred ten thousand, seven hundred eighty-four".