78687120 has 80 divisors (see below), whose sum is σ = 248109120. Its totient is φ = 20623872.

The previous prime is 78687097. The next prime is 78687131. The reversal of 78687120 is 2178687.

It is a tau number, because it is divible by the number of its divisors (80).

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, 11382 + ... + 16938.

It is an arithmetic number, because the mean of its divisors is an integer number (3101364).

Almost surely, 2^78687120 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 78687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124054560).

78687120 is an abundant number, since it is smaller than the sum of its proper divisors (169422000).

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

78687120 is a wasteful number, since it uses less digits than its factorization.

78687120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 78687120 is about 8870.5760805035. The cubic root of 78687120 is about 428.5168298700.

The spelling of 78687120 in words is "seventy-eight million, six hundred eighty-seven thousand, one hundred twenty".