78865200 has 180 divisors, whose sum is σ = 288338440. Its totient is φ = 19906560.

The previous prime is 78865187. The next prime is 78865217. The reversal of 78865200 is 256887.

78865200 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67824 + ... + 68976.

Almost surely, 2^78865200 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 78865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144169220).

78865200 is an abundant number, since it is smaller than the sum of its proper divisors (209473240).

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

78865200 is a wasteful number, since it uses less digits than its factorization.

78865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 78865200 is about 8880.6080872877. The cubic root of 78865200 is about 428.8398508946.

The spelling of 78865200 in words is "seventy-eight million, eight hundred sixty-five thousand, two hundred".