78824576 has 32 divisors (see below), whose sum is σ = 158125500. Its totient is φ = 39138304.

The previous prime is 78824573. The next prime is 78824609. The reversal of 78824576 is 67542887.

It can be written as a sum of positive squares in 2 ways, for example, as 78145600 + 678976 = 8840^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 78824576.

It is not an unprimeable number, because it can be changed into a prime (78824573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17006 + ... + 21138.

Almost surely, 2^78824576 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 78824576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79062750).

78824576 is an abundant number, since it is smaller than the sum of its proper divisors (79300924).

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

78824576 is a wasteful number, since it uses less digits than its factorization.

78824576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4284 counting only the distinct ones).

The product of its digits is 752640, while the sum is 47.

The square root of 78824576 is about 8878.3205619081. The cubic root of 78824576 is about 428.7662054751.

The spelling of 78824576 in words is "seventy-eight million, eight hundred twenty-four thousand, five hundred seventy-six".