78729000 has 256 divisors, whose sum is σ = 294727680. Its totient is φ = 17107200.

The previous prime is 78728999. The next prime is 78729029. The reversal of 78729000 is 92787.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482919 + ... + 483081.

It is an arithmetic number, because the mean of its divisors is an integer number (1151280).

Almost surely, 2^78729000 is an apocalyptic number.

78729000 is a gapful number since it is divisible by the number (70) 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 78729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147363840).

78729000 is an abundant number, since it is smaller than the sum of its proper divisors (215998680).

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

78729000 is a wasteful number, since it uses less digits than its factorization.

78729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 78729000 is about 8872.9363798012. The cubic root of 78729000 is about 428.5928402001.

The spelling of 78729000 in words is "seventy-eight million, seven hundred twenty-nine thousand".