78086736 has 240 divisors, whose sum is σ = 276232320. Its totient is φ = 20044800.

The previous prime is 78086717. The next prime is 78086741. The reversal of 78086736 is 63768087.

It is a junction number, because it is equal to n+sod(n) for n = 78086691 and 78086700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773086 + ... + 773186.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^78086736 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 78086736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

78086736 is an abundant number, since it is smaller than the sum of its proper divisors (198145584).

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

78086736 is a wasteful number, since it uses less digits than its factorization.

78086736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 78086736 is about 8836.6699610204. The cubic root of 78086736 is about 427.4241827175.

The spelling of 78086736 in words is "seventy-eight million, eighty-six thousand, seven hundred thirty-six".