78729084 has 252 divisors, whose sum is σ = 261664200. Its totient is φ = 20575296.

The previous prime is 78729083. The next prime is 78729121. The reversal of 78729084 is 48092787.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78729083) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2714782 + ... + 2714810.

It is an arithmetic number, because the mean of its divisors is an integer number (1038350).

Almost surely, 2^78729084 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 78729084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130832100).

78729084 is an abundant number, since it is smaller than the sum of its proper divisors (182935116).

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

78729084 is a wasteful number, since it uses less digits than its factorization.

78729084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 78729084 is about 8872.9411132950. The cubic root of 78729084 is about 428.5929926292.

The spelling of 78729084 in words is "seventy-eight million, seven hundred twenty-nine thousand, eighty-four".