78327611712 has 840 divisors, whose sum is σ = 289263490560. Its totient is φ = 20910597120.

The previous prime is 78327611693. The next prime is 78327611731. The reversal of 78327611712 is 21711672387.

78327611712 is a `hidden beast` number, since 7 + 8 + 3 + 27 + 611 + 7 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (78327611693) and next prime (78327611731).

It is a super-2 number, since 2×78327611712² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (197568) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2526697137 + ... + 2526697167.

Almost surely, 2^78327611712 is an apocalyptic number.

78327611712 is a gapful number since it is divisible by the number (72) 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 78327611712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144631745280).

78327611712 is an abundant number, since it is smaller than the sum of its proper divisors (210935878848).

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

78327611712 is an frugal number, since it uses more digits than its factorization.

78327611712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 78327611712 in words is "seventy-eight billion, three hundred twenty-seven million, six hundred eleven thousand, seven hundred twelve".