78556608 has 168 divisors, whose sum is σ = 251002800. Its totient is φ = 24081408.

The previous prime is 78556607. The next prime is 78556613. The reversal of 78556608 is 80665587.

78556608 is a `hidden beast` number, since 7 + 85 + 566 + 0 + 8 = 666.

It is a super-3 number, since 3×78556608³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78556603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291898 + ... + 292166.

Almost surely, 2^78556608 is an apocalyptic number.

78556608 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78556608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125501400).

78556608 is an abundant number, since it is smaller than the sum of its proper divisors (172446192).

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

78556608 is a wasteful number, since it uses less digits than its factorization.

78556608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 78556608 is about 8863.2165718773. The cubic root of 78556608 is about 428.2797832930.

The spelling of 78556608 in words is "seventy-eight million, five hundred fifty-six thousand, six hundred eight".