78507936 has 108 divisors (see below), whose sum is σ = 241901478. Its totient is φ = 24141312.

The previous prime is 78507931. The next prime is 78507953. The reversal of 78507936 is 63970587.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 44355600 + 34152336 = 6660^2 + 5844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78507891 and 78507900.

It is not an unprimeable number, because it can be changed into a prime (78507931) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47866 + ... + 49478.

Almost surely, 2^78507936 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 78507936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120950739).

78507936 is an abundant number, since it is smaller than the sum of its proper divisors (163393542).

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

78507936 is a wasteful number, since it uses less digits than its factorization.

78507936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 78507936 is about 8860.4704164057. The cubic root of 78507936 is about 428.1913140108.

The spelling of 78507936 in words is "seventy-eight million, five hundred seven thousand, nine hundred thirty-six".