78589056 has 192 divisors, whose sum is σ = 259830720. Its totient is φ = 20606976.

The previous prime is 78589037. The next prime is 78589081. The reversal of 78589056 is 65098587.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×78589056² = 12352479445942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 78588996 and 78589014.

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 23 ways as a sum of consecutive naturals, for example, 454186 + ... + 454358.

It is an arithmetic number, because the mean of its divisors is an integer number (1353285).

Almost surely, 2^78589056 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 78589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129915360).

78589056 is an abundant number, since it is smaller than the sum of its proper divisors (181241664).

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

78589056 is a wasteful number, since it uses less digits than its factorization.

78589056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 78589056 is about 8865.0468695885. The cubic root of 78589056 is about 428.3387425151.

The spelling of 78589056 in words is "seventy-eight million, five hundred eighty-nine thousand, fifty-six".