78617088 has 240 divisors, whose sum is σ = 261233280. Its totient is φ = 23316480.

The previous prime is 78617083. The next prime is 78617113. The reversal of 78617088 is 88071687.

It is not an unprimeable number, because it can be changed into a prime (78617081) by changing a digit.

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, 1672681 + ... + 1672727.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 2^78617088 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 78617088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

78617088 is an abundant number, since it is smaller than the sum of its proper divisors (182616192).

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

78617088 is a wasteful number, since it uses less digits than its factorization.

78617088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 78617088 is about 8866.6277693382. The cubic root of 78617088 is about 428.3896646362.

The spelling of 78617088 in words is "seventy-eight million, six hundred seventeen thousand, eighty-eight".