78853824 has 280 divisors, whose sum is σ = 278818848. Its totient is φ = 21565440.

The previous prime is 78853823. The next prime is 78853937. The reversal of 78853824 is 42835887.

It is a self number, because there is not a number n which added to its sum of digits gives 78853824.

It is not an unprimeable number, because it can be changed into a prime (78853823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1487782 + ... + 1487834.

Almost surely, 2^78853824 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 78853824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139409424).

78853824 is an abundant number, since it is smaller than the sum of its proper divisors (199965024).

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

78853824 is a wasteful number, since it uses less digits than its factorization.

78853824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 78853824 is about 8879.9675675083. The cubic root of 78853824 is about 428.8192304066.

The spelling of 78853824 in words is "seventy-eight million, eight hundred fifty-three thousand, eight hundred twenty-four".