78531200 has 192 divisors, whose sum is σ = 223110720. Its totient is φ = 27033600.

The previous prime is 78531191. The next prime is 78531209. The reversal of 78531200 is 213587.

It is an interprime number because it is at equal distance from previous prime (78531191) and next prime (78531209).

It is a self number, because there is not a number n which added to its sum of digits gives 78531200.

It is not an unprimeable number, because it can be changed into a prime (78531209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809552 + ... + 809648.

It is an arithmetic number, because the mean of its divisors is an integer number (1162035).

Almost surely, 2^78531200 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 78531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111555360).

78531200 is an abundant number, since it is smaller than the sum of its proper divisors (144579520).

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

78531200 is a wasteful number, since it uses less digits than its factorization.

78531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 78531200 is about 8861.7831162808. The cubic root of 78531200 is about 428.2336046778.

Adding to 78531200 its reverse (213587), we get a palindrome (78744787).

The spelling of 78531200 in words is "seventy-eight million, five hundred thirty-one thousand, two hundred".