78076000 has 96 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 30784000.

The previous prime is 78075989. The next prime is 78076039. The reversal of 78076000 is 67087.

It is a self number, because there is not a number n which added to its sum of digits gives 78076000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 523926 + ... + 524074.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2^78076000 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 78076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97297200).

78076000 is an abundant number, since it is smaller than the sum of its proper divisors (116518400).

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

78076000 is a wasteful number, since it uses less digits than its factorization.

78076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 78076000 is about 8836.0624714858. The cubic root of 78076000 is about 427.4045932346.

The spelling of 78076000 in words is "seventy-eight million, seventy-six thousand".