78884352 has 240 divisors, whose sum is σ = 258532560. Its totient is φ = 23003136.

The previous prime is 78884341. The next prime is 78884353. The reversal of 78884352 is 25348887.

It is a junction number, because it is equal to n+sod(n) for n = 78884298 and 78884307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78884353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1488358 + ... + 1488410.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 2^78884352 is an apocalyptic number.

78884352 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 78884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129266280).

78884352 is an abundant number, since it is smaller than the sum of its proper divisors (179648208).

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

78884352 is a wasteful number, since it uses less digits than its factorization.

78884352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

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

The square root of 78884352 is about 8881.6863263684. The cubic root of 78884352 is about 428.8745619208.

The spelling of 78884352 in words is "seventy-eight million, eight hundred eighty-four thousand, three hundred fifty-two".