78159564 has 72 divisors (see below), whose sum is σ = 226830240. Its totient is φ = 22228992.

The previous prime is 78159527. The next prime is 78159581. The reversal of 78159564 is 46595187.

78159564 is a `hidden beast` number, since 7 + 81 + 5 + 9 + 564 = 666.

It is a super-2 number, since 2×78159564² = 12217834889340192, which contains 22 as substring.

It is an unprimeable number.

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, 67212 + ... + 68364.

It is an arithmetic number, because the mean of its divisors is an integer number (3150420).

Almost surely, 2^78159564 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 78159564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113415120).

78159564 is an abundant number, since it is smaller than the sum of its proper divisors (148670676).

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

78159564 is a wasteful number, since it uses less digits than its factorization.

78159564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1434 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 78159564 is about 8840.7897837241. The cubic root of 78159564 is about 427.5570212234.

The spelling of 78159564 in words is "seventy-eight million, one hundred fifty-nine thousand, five hundred sixty-four".