78687200 has 72 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 30694400.

The previous prime is 78687199. The next prime is 78687247. The reversal of 78687200 is 278687.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31601 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^78687200 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 78687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

78687200 is an abundant number, since it is smaller than the sum of its proper divisors (118175200).

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

78687200 is a wasteful number, since it uses less digits than its factorization.

78687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 78687200 is about 8870.5805897923. The cubic root of 78687200 is about 428.5169750921.

It can be divided in two parts, 78687 and 200, that added together give a palindrome (78887).

The spelling of 78687200 in words is "seventy-eight million, six hundred eighty-seven thousand, two hundred".