78693200 has 60 divisors (see below), whose sum is σ = 190843068. Its totient is φ = 31180800.

The previous prime is 78693179. The next prime is 78693203. The reversal of 78693200 is 239687.

It can be written as a sum of positive squares in 6 ways, for example, as 43930384 + 34762816 = 6628^2 + 5896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78693203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44330 + ... + 46070.

Almost surely, 2^78693200 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 78693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95421534).

78693200 is an abundant number, since it is smaller than the sum of its proper divisors (112149868).

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

78693200 is a wasteful number, since it uses less digits than its factorization.

78693200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 78693200 is about 8870.9187799235. The cubic root of 78693200 is about 428.5278664718.

The spelling of 78693200 in words is "seventy-eight million, six hundred ninety-three thousand, two hundred".