78635200 has 252 divisors, whose sum is σ = 242361720. Its totient is φ = 24944640.

The previous prime is 78635191. The next prime is 78635201. The reversal of 78635200 is 253687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78635201) 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, 1332771 + ... + 1332829.

Almost surely, 2^78635200 is an apocalyptic number.

78635200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121180860).

78635200 is an abundant number, since it is smaller than the sum of its proper divisors (163726520).

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

78635200 is a wasteful number, since it uses less digits than its factorization.

78635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 78635200 is about 8867.6490683833. The cubic root of 78635200 is about 428.4225599352.

Adding to 78635200 its reverse (253687), we get a palindrome (78888887).

The spelling of 78635200 in words is "seventy-eight million, six hundred thirty-five thousand, two hundred".