78729600 has 192 divisors, whose sum is σ = 265608000. Its totient is φ = 20490240.

The previous prime is 78729593. The next prime is 78729611. The reversal of 78729600 is 692787.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566331 + ... + 566469.

It is an arithmetic number, because the mean of its divisors is an integer number (1383375).

Almost surely, 2^78729600 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 78729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

78729600 is an abundant number, since it is smaller than the sum of its proper divisors (186878400).

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

78729600 is a wasteful number, since it uses less digits than its factorization.

78729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 78729600 is about 8872.9701904154. The cubic root of 78729600 is about 428.5939289774.

The spelling of 78729600 in words is "seventy-eight million, seven hundred twenty-nine thousand, six hundred".