78189077736 has 576 divisors, whose sum is σ = 282876572160. Its totient is φ = 20003760000.

The previous prime is 78189077731. The next prime is 78189077773. The reversal of 78189077736 is 63777098187.

It is a super-2 number, since 2×78189077736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (78189077731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74394411 + ... + 74395461.

It is an arithmetic number, because the mean of its divisors is an integer number (491105160).

Almost surely, 2^78189077736 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 78189077736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141438286080).

78189077736 is an abundant number, since it is smaller than the sum of its proper divisors (204687494424).

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

78189077736 is a wasteful number, since it uses less digits than its factorization.

78189077736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 78189077736 in words is "seventy-eight billion, one hundred eighty-nine million, seventy-seven thousand, seven hundred thirty-six".