78096564 has 144 divisors (see below), whose sum is σ = 251130880. Its totient is φ = 19906560.

The previous prime is 78096553. The next prime is 78096581. The reversal of 78096564 is 46569087.

78096564 is a `hidden beast` number, since 7 + 80 + 9 + 6 + 564 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 101172 + ... + 101940.

Almost surely, 2^78096564 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 78096564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125565440).

78096564 is an abundant number, since it is smaller than the sum of its proper divisors (173034316).

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

78096564 is a wasteful number, since it uses less digits than its factorization.

78096564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 78096564 is about 8837.2260353575. The cubic root of 78096564 is about 427.4421138407.

It can be divided in two parts, 780 and 96564, that added together give a square (97344 = 312²).

The spelling of 78096564 in words is "seventy-eight million, ninety-six thousand, five hundred sixty-four".