78054223104 has 540 divisors, whose sum is σ = 275619596868. Its totient is φ = 21824225280.

The previous prime is 78054223103. The next prime is 78054223151. The reversal of 78054223104 is 40132245087.

It is a happy number.

78054223104 is a `hidden beast` number, since 7 + 8 + 0 + 542 + 2 + 3 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5542504704 + 72511718400 = 74448^2 + 269280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78054223103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32616532 + ... + 32618924.

Almost surely, 2^78054223104 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 78054223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137809798434).

78054223104 is an abundant number, since it is smaller than the sum of its proper divisors (197565373764).

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

78054223104 is a wasteful number, since it uses less digits than its factorization.

78054223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 78054223104 in words is "seventy-eight billion, fifty-four million, two hundred twenty-three thousand, one hundred four".