78033332 has 48 divisors (see below), whose sum is σ = 159585552. Its totient is φ = 33054720.

The previous prime is 78033313. The next prime is 78033377. The reversal of 78033332 is 23333087.

It can be written as a sum of positive squares in 8 ways, for example, as 23775376 + 54257956 = 4876^2 + 7366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78033295 and 78033304.

It is a congruent number.

It is an unprimeable number.

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, 35168 + ... + 37320.

It is an arithmetic number, because the mean of its divisors is an integer number (3324699).

Almost surely, 2^78033332 is an apocalyptic number.

It is an amenable number.

78033332 is an abundant number, since it is smaller than the sum of its proper divisors (81552220).

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

78033332 is a wasteful number, since it uses less digits than its factorization.

78033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 78033332 is about 8833.6477176759. The cubic root of 78033332 is about 427.3267211517.

The spelling of 78033332 in words is "seventy-eight million, thirty-three thousand, three hundred thirty-two".