78228446828742 has 320 divisors, whose sum is σ = 207533035543680. Its totient is φ = 21560197939200.

The previous prime is 78228446828699. The next prime is 78228446828761. The reversal of 78228446828742 is 24782864482287.

78228446828742 is a `hidden beast` number, since 7 + 8 + 2 + 2 + 84 + 468 + 2 + 87 + 4 + 2 = 666.

78228446828742 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78228446828742² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5001491242 + ... + 5001506882.

It is an arithmetic number, because the mean of its divisors is an integer number (648540736074).

Almost surely, 2^{78228446828742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78228446828742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103766517771840).

78228446828742 is an abundant number, since it is smaller than the sum of its proper divisors (129304588714938).

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

78228446828742 is a wasteful number, since it uses less digits than its factorization.

78228446828742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16909 (or 16900 counting only the distinct ones).

The product of its digits is 1233125376, while the sum is 72.

The spelling of 78228446828742 in words is "seventy-eight trillion, two hundred twenty-eight billion, four hundred forty-six million, eight hundred twenty-eight thousand, seven hundred forty-two".