78819360 has 96 divisors (see below), whose sum is σ = 256338432. Its totient is φ = 20336640.

The previous prime is 78819359. The next prime is 78819371. The reversal of 78819360 is 6391887.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12232 + ... + 17528.

It is an arithmetic number, because the mean of its divisors is an integer number (2670192).

Almost surely, 2^78819360 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 78819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128169216).

78819360 is an abundant number, since it is smaller than the sum of its proper divisors (177519072).

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

78819360 is a wasteful number, since it uses less digits than its factorization.

78819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 78819360 is about 8878.0268077991. The cubic root of 78819360 is about 428.7567477908.

The spelling of 78819360 in words is "seventy-eight million, eight hundred nineteen thousand, three hundred sixty".