78633152 has 56 divisors (see below), whose sum is σ = 173888400. Its totient is φ = 35030016.

The previous prime is 78633133. The next prime is 78633157. The reversal of 78633152 is 25133687.

It is not an unprimeable number, because it can be changed into a prime (78633157) 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 7 ways as a sum of consecutive naturals, for example, 22499 + ... + 25757.

It is an arithmetic number, because the mean of its divisors is an integer number (3105150).

Almost surely, 2^78633152 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 78633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86944200).

78633152 is an abundant number, since it is smaller than the sum of its proper divisors (95255248).

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

78633152 is a wasteful number, since it uses less digits than its factorization.

78633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3303 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 78633152 is about 8867.5335917041. The cubic root of 78633152 is about 428.4188405787.

The spelling of 78633152 in words is "seventy-eight million, six hundred thirty-three thousand, one hundred fifty-two".