78053441760 has 1152 divisors, whose sum is σ = 332329181184. Its totient is φ = 16303472640.

The previous prime is 78053441737. The next prime is 78053441801. The reversal of 78053441760 is 6714435087.

78053441760 is a `hidden beast` number, since 7 + 8 + 0 + 534 + 41 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 497155602 + ... + 497155758.

It is an arithmetic number, because the mean of its divisors is an integer number (288480192).

Almost surely, 2^78053441760 is an apocalyptic number.

78053441760 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 78053441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166164590592).

78053441760 is an abundant number, since it is smaller than the sum of its proper divisors (254275739424).

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

78053441760 is a wasteful number, since it uses less digits than its factorization.

78053441760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 78053441760 in words is "seventy-eight billion, fifty-three million, four hundred forty-one thousand, seven hundred sixty".