78433200 has 90 divisors (see below), whose sum is σ = 272197484. Its totient is φ = 20914560.

The previous prime is 78433181. The next prime is 78433211. The reversal of 78433200 is 233487.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7294 + ... + 14493.

Almost surely, 2^78433200 is an apocalyptic number.

It is an amenable number.

78433200 is an abundant number, since it is smaller than the sum of its proper divisors (193764284).

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

78433200 is a wasteful number, since it uses less digits than its factorization.

78433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21811 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 78433200 is about 8856.2520289341. The cubic root of 78433200 is about 428.0553979593.

Adding to 78433200 its reverse (233487), we get a palindrome (78666687).

The spelling of 78433200 in words is "seventy-eight million, four hundred thirty-three thousand, two hundred".