78471200 has 72 divisors (see below), whose sum is σ = 195737472. Its totient is φ = 30705920.

The previous prime is 78471181. The next prime is 78471203. The reversal of 78471200 is 217487.

It is not an unprimeable number, because it can be changed into a prime (78471203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36557 + ... + 38643.

It is an arithmetic number, because the mean of its divisors is an integer number (2718576).

Almost surely, 2^78471200 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 78471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97868736).

78471200 is an abundant number, since it is smaller than the sum of its proper divisors (117266272).

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

78471200 is a wasteful number, since it uses less digits than its factorization.

78471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 78471200 is about 8858.3971462110. The cubic root of 78471200 is about 428.1245161342.

Adding to 78471200 its reverse (217487), we get a palindrome (78688687).

The spelling of 78471200 in words is "seventy-eight million, four hundred seventy-one thousand, two hundred".