78643200 has 126 divisors (see below), whose sum is σ = 260046724. Its totient is φ = 20971520.

The previous prime is 78643199. The next prime is 78643211. The reversal of 78643200 is 234687.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15728638 + ... + 15728642.

Almost surely, 2^78643200 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 78643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130023362).

78643200 is an abundant number, since it is smaller than the sum of its proper divisors (181403524).

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

78643200 is an frugal number, since it uses more digits than its factorization.

78643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 78643200 is about 8868.1001347527. The cubic root of 78643200 is about 428.4370880526.

Adding to 78643200 its reverse (234687), we get a palindrome (78877887).

The spelling of 78643200 in words is "seventy-eight million, six hundred forty-three thousand, two hundred".