83800407 has 16 divisors (see below), whose sum is σ = 113503968. Its totient is φ = 54988800.

The previous prime is 83800391. The next prime is 83800411. The reversal of 83800407 is 70400838.

It is not a de Polignac number, because 83800407 - 2⁴ = 83800391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83800447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57763 + ... + 59195.

It is an arithmetic number, because the mean of its divisors is an integer number (7093998).

Almost surely, 2^83800407 is an apocalyptic number.

83800407 is a deficient number, since it is larger than the sum of its proper divisors (29703561).

83800407 is a wasteful number, since it uses less digits than its factorization.

83800407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 83800407 is about 9154.2562232002. The cubic root of 83800407 is about 437.6047653323.

The spelling of 83800407 in words is "eighty-three million, eight hundred thousand, four hundred seven".