78473824 has 72 divisors (see below), whose sum is σ = 182997360. Its totient is φ = 32904960.

The previous prime is 78473821. The next prime is 78473833. The reversal of 78473824 is 42837487.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78473821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49557 + ... + 51115.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^78473824 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 78473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91498680).

78473824 is an abundant number, since it is smaller than the sum of its proper divisors (104523536).

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

78473824 is a wasteful number, since it uses less digits than its factorization.

78473824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1585 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The square root of 78473824 is about 8858.5452530311. The cubic root of 78473824 is about 428.1292881024.

It can be divided in two parts, 78473 and 824, that added together give a palindrome (79297).

The spelling of 78473824 in words is "seventy-eight million, four hundred seventy-three thousand, eight hundred twenty-four".