78003360 has 144 divisors (see below), whose sum is σ = 280294560. Its totient is φ = 19699200.

The previous prime is 78003353. The next prime is 78003377. The reversal of 78003360 is 6330087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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, 25935 + ... + 28785.

It is an arithmetic number, because the mean of its divisors is an integer number (1946490).

Almost surely, 2^78003360 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 78003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147280).

78003360 is an abundant number, since it is smaller than the sum of its proper divisors (202291200).

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

78003360 is a wasteful number, since it uses less digits than its factorization.

78003360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 78003360 is about 8831.9510868211. The cubic root of 78003360 is about 427.2720031813.

The spelling of 78003360 in words is "seventy-eight million, three thousand, three hundred sixty".