78083313 has 48 divisors (see below), whose sum is σ = 135311616. Its totient is φ = 39584160.

The previous prime is 78083297. The next prime is 78083333. The reversal of 78083313 is 31338087.

It is not a de Polignac number, because 78083313 - 2⁴ = 78083297 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (78083333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68970 + ... + 70092.

It is an arithmetic number, because the mean of its divisors is an integer number (2818992).

Almost surely, 2^78083313 is an apocalyptic number.

It is an amenable number.

78083313 is a deficient number, since it is larger than the sum of its proper divisors (57228303).

78083313 is a wasteful number, since it uses less digits than its factorization.

78083313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 78083313 is about 8836.4762773404. The cubic root of 78083313 is about 427.4179371226.

The spelling of 78083313 in words is "seventy-eight million, eighty-three thousand, three hundred thirteen".