78727723200 has 504 divisors, whose sum is σ = 331646328832. Its totient is φ = 17994286080.

The previous prime is 78727723183. The next prime is 78727723223. The reversal of 78727723200 is 232772787.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2707137 + ... + 2736063.

Almost surely, 2^78727723200 is an apocalyptic number.

78727723200 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 78727723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165823164416).

78727723200 is an abundant number, since it is smaller than the sum of its proper divisors (252918605632).

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

78727723200 is a wasteful number, since it uses less digits than its factorization.

78727723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28971 (or 28944 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 78727723200 in words is "seventy-eight billion, seven hundred twenty-seven million, seven hundred twenty-three thousand, two hundred".