78488352 has 120 divisors (see below), whose sum is σ = 233812656. Its totient is φ = 25826688.

The previous prime is 78488323. The next prime is 78488363. The reversal of 78488352 is 25388487.

It is a junction number, because it is equal to n+sod(n) for n = 78488298 and 78488307.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 277203 + ... + 277485.

Almost surely, 2^78488352 is an apocalyptic number.

78488352 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 78488352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116906328).

78488352 is an abundant number, since it is smaller than the sum of its proper divisors (155324304).

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

78488352 is a wasteful number, since it uses less digits than its factorization.

78488352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

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

The square root of 78488352 is about 8859.3652142803. The cubic root of 78488352 is about 428.1557065869.

The spelling of 78488352 in words is "seventy-eight million, four hundred eighty-eight thousand, three hundred fifty-two".