78091200 has 504 divisors, whose sum is σ = 331652880. Its totient is φ = 17203200.

The previous prime is 78091199. The next prime is 78091213. The reversal of 78091200 is 219087.

It is a congruent number.

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, 2692786 + ... + 2692814.

Almost surely, 2^78091200 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 78091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

78091200 is an abundant number, since it is smaller than the sum of its proper divisors (253561680).

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

78091200 is a wasteful number, since it uses less digits than its factorization.

78091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 78091200 is about 8836.9225412470. The cubic root of 78091200 is about 427.4323274434.

It can be divided in two parts, 7809 and 1200, that added together give a palindrome (9009).

The spelling of 78091200 in words is "seventy-eight million, ninety-one thousand, two hundred".