78782160 has 80 divisors (see below), whose sum is σ = 252126720. Its totient is φ = 20328960.

The previous prime is 78782117. The next prime is 78782167. The reversal of 78782160 is 6128787.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78782167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (3151584).

Almost surely, 2^78782160 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 78782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126063360).

78782160 is an abundant number, since it is smaller than the sum of its proper divisors (173344560).

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

78782160 is a wasteful number, since it uses less digits than its factorization.

78782160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636 (or 10630 counting only the distinct ones).

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

The square root of 78782160 is about 8875.9315004117. The cubic root of 78782160 is about 428.6892844124.

The spelling of 78782160 in words is "seventy-eight million, seven hundred eighty-two thousand, one hundred sixty".