78123732736 has 288 divisors, whose sum is σ = 193145637888. Its totient is φ = 30812897280.

The previous prime is 78123732727. The next prime is 78123732767. The reversal of 78123732736 is 63723732187.

It is a super-2 number, since 2×78123732736² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78123732736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140257770 + ... + 140258326.

It is an arithmetic number, because the mean of its divisors is an integer number (670644576).

Almost surely, 2^78123732736 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 78123732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96572818944).

78123732736 is an abundant number, since it is smaller than the sum of its proper divisors (115021905152).

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

78123732736 is a wasteful number, since it uses less digits than its factorization.

78123732736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 49.

The spelling of 78123732736 in words is "seventy-eight billion, one hundred twenty-three million, seven hundred thirty-two thousand, seven hundred thirty-six".