78433800 has 96 divisors (see below), whose sum is σ = 247246080. Its totient is φ = 20563200.

The previous prime is 78433759. The next prime is 78433819. The reversal of 78433800 is 833487.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35529 + ... + 37671.

It is an arithmetic number, because the mean of its divisors is an integer number (2575480).

Almost surely, 2^78433800 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 78433800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123623040).

78433800 is an abundant number, since it is smaller than the sum of its proper divisors (168812280).

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

78433800 is a wasteful number, since it uses less digits than its factorization.

78433800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 78433800 is about 8856.2859032441. The cubic root of 78433800 is about 428.0564894723.

The spelling of 78433800 in words is "seventy-eight million, four hundred thirty-three thousand, eight hundred".