78933148 has 54 divisors (see below), whose sum is σ = 167320104. Its totient is φ = 31914432.

The previous prime is 78933137. The next prime is 78933149. The reversal of 78933148 is 84133987.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78933149) 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 17 ways as a sum of consecutive naturals, for example, 1081240 + ... + 1081312.

Almost surely, 2^78933148 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 78933148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83660052).

78933148 is an abundant number, since it is smaller than the sum of its proper divisors (88386956).

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

78933148 is a wasteful number, since it uses less digits than its factorization.

78933148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 105 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 78933148 is about 8884.4329025549. The cubic root of 78933148 is about 428.9629742570.

Multiplying 78933148 by its product of digits (145152), we get a square (11457304298496 = 3384864²).

The spelling of 78933148 in words is "seventy-eight million, nine hundred thirty-three thousand, one hundred forty-eight".