78532400 has 30 divisors (see below), whose sum is σ = 188675052. Its totient is φ = 31412800.

The previous prime is 78532397. The next prime is 78532409. The reversal of 78532400 is 423587.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (78532409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97766 + ... + 98565.

Almost surely, 2^78532400 is an apocalyptic number.

It is an amenable number.

78532400 is an abundant number, since it is smaller than the sum of its proper divisors (110142652).

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

78532400 is a wasteful number, since it uses less digits than its factorization.

78532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196349 (or 196338 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 78532400 is about 8861.8508224862. The cubic root of 78532400 is about 428.2357858818.

Adding to 78532400 its reverse (423587), we get a palindrome (78955987).

The spelling of 78532400 in words is "seventy-eight million, five hundred thirty-two thousand, four hundred".