78191568 has 360 divisors, whose sum is σ = 297355968. Its totient is φ = 19408896.

The previous prime is 78191557. The next prime is 78191591. The reversal of 78191568 is 86519187.

78191568 is a `hidden beast` number, since 7 + 81 + 9 + 1 + 568 = 666.

It is a super-2 number, since 2×78191568² = 12227842612597248, which contains 22 as substring.

Its product of digits (120960) is a multiple of the sum of its prime divisors (42).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4599496 + ... + 4599512.

Almost surely, 2^78191568 is an apocalyptic number.

78191568 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 78191568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148677984).

78191568 is an abundant number, since it is smaller than the sum of its proper divisors (219164400).

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

78191568 is a wasteful number, since it uses less digits than its factorization.

78191568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 78191568 is about 8842.5996177595. The cubic root of 78191568 is about 427.6153705239.

The spelling of 78191568 in words is "seventy-eight million, one hundred ninety-one thousand, five hundred sixty-eight".