78050316960 has 1728 divisors, whose sum is σ = 368156565504. Its totient is φ = 15153868800.

The previous prime is 78050316937. The next prime is 78050316979. The reversal of 78050316960 is 6961305087.

It is a happy number.

78050316960 is a `hidden beast` number, since 7 + 80 + 503 + 1 + 6 + 9 + 60 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2517752145 + ... + 2517752175.

It is an arithmetic number, because the mean of its divisors is an integer number (213053568).

Almost surely, 2^78050316960 is an apocalyptic number.

78050316960 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 78050316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184078282752).

78050316960 is an abundant number, since it is smaller than the sum of its proper divisors (290106248544).

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

78050316960 is a wasteful number, since it uses less digits than its factorization.

78050316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 78050316960 in words is "seventy-eight billion, fifty million, three hundred sixteen thousand, nine hundred sixty".