78624832 has 112 divisors (see below), whose sum is σ = 187415424. Its totient is φ = 32524800.

The previous prime is 78624827. The next prime is 78624841. The reversal of 78624832 is 23842687.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107357 + ... + 1107427.

It is an arithmetic number, because the mean of its divisors is an integer number (1673352).

Almost surely, 2^78624832 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 78624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93707712).

78624832 is an abundant number, since it is smaller than the sum of its proper divisors (108790592).

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

78624832 is a wasteful number, since it uses less digits than its factorization.

78624832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 78624832 is about 8867.0644522299. The cubic root of 78624832 is about 428.4037300289.

The spelling of 78624832 in words is "seventy-eight million, six hundred twenty-four thousand, eight hundred thirty-two".