78723600 has 180 divisors, whose sum is σ = 269064624. Its totient is φ = 19671040.

The previous prime is 78723599. The next prime is 78723607. The reversal of 78723600 is 632787.

It is not an unprimeable number, because it can be changed into a prime (78723607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346687 + ... + 346913.

Almost surely, 2^78723600 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 78723600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134532312).

78723600 is an abundant number, since it is smaller than the sum of its proper divisors (190341024).

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

78723600 is a wasteful number, since it uses less digits than its factorization.

78723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 78723600 is about 8872.6320784759. The cubic root of 78723600 is about 428.5830409552.

The spelling of 78723600 in words is "seventy-eight million, seven hundred twenty-three thousand, six hundred".