78112789364736 has 945 divisors, whose sum is σ = 273471801801429. Its totient is φ = 22155035148288.

The previous prime is 78112789364723. The next prime is 78112789364783. The reversal of 78112789364736 is 63746398721187.

The square root of 78112789364736 is 8838144.

It is a perfect power (a square), and thus also a powerful number.

78112789364736 is a `hidden beast` number, since 7 + 8 + 112 + 7 + 8 + 9 + 36 + 473 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45883824537600 + 32228964827136 = 6773760^2 + 5677056^2 .

It is a super-2 number, since 2×78112789364736² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 570166345660 + ... + 570166345796.

Almost surely, 2^{78112789364736} is an apocalyptic number.

78112789364736 is the 8838144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78112789364736

78112789364736 is an abundant number, since it is smaller than the sum of its proper divisors (195359012436693).

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

78112789364736 is an frugal number, since it uses more digits than its factorization.

78112789364736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 149 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 78112789364736 in words is "seventy-eight trillion, one hundred twelve billion, seven hundred eighty-nine million, three hundred sixty-four thousand, seven hundred thirty-six".