78991214328 has 192 divisors, whose sum is σ = 238264615680. Its totient is φ = 23477299200.

The previous prime is 78991214321. The next prime is 78991214381. The reversal of 78991214328 is 82341219987.

78991214328 is a `hidden beast` number, since 7 + 89 + 9 + 121 + 432 + 8 = 666.

It is a super-2 number, since 2×78991214328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78991214321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17784588 + ... + 17789028.

It is an arithmetic number, because the mean of its divisors is an integer number (1240961540).

Almost surely, 2^78991214328 is an apocalyptic number.

78991214328 is a gapful number since it is divisible by the number (78) 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 78991214328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119132307840).

78991214328 is an abundant number, since it is smaller than the sum of its proper divisors (159273401352).

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

78991214328 is a wasteful number, since it uses less digits than its factorization.

78991214328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5103 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 78991214328 in words is "seventy-eight billion, nine hundred ninety-one million, two hundred fourteen thousand, three hundred twenty-eight".