78578800 has 60 divisors (see below), whose sum is σ = 194906176. Its totient is φ = 30412800.

The previous prime is 78578789. The next prime is 78578809. The reversal of 78578800 is 887587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78578809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9232 + ... + 15568.

Almost surely, 2^78578800 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 78578800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97453088).

78578800 is an abundant number, since it is smaller than the sum of its proper divisors (116327376).

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

78578800 is a wasteful number, since it uses less digits than its factorization.

78578800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 43.

The square root of 78578800 is about 8864.4683991766. The cubic root of 78578800 is about 428.3201087363.

The spelling of 78578800 in words is "seventy-eight million, five hundred seventy-eight thousand, eight hundred".