78548832 has 96 divisors (see below), whose sum is σ = 230680800. Its totient is φ = 26002944.

The previous prime is 78548801. The next prime is 78548839. The reversal of 78548832 is 23884587.

78548832 is a `hidden beast` number, since 78 + 548 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78548839) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 197658 + ... + 198054.

It is an arithmetic number, because the mean of its divisors is an integer number (2402925).

Almost surely, 2^78548832 is an apocalyptic number.

78548832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78548832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115340400).

78548832 is an abundant number, since it is smaller than the sum of its proper divisors (152131968).

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

78548832 is a wasteful number, since it uses less digits than its factorization.

78548832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

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

The square root of 78548832 is about 8862.7778940917. Note that the first 3 decimals coincide. The cubic root of 78548832 is about 428.2656516005.

The spelling of 78548832 in words is "seventy-eight million, five hundred forty-eight thousand, eight hundred thirty-two".