90789500407 has 16 divisors (see below), whose sum is σ = 92343283200. Its totient is φ = 89250336000.

The previous prime is 90789500377. The next prime is 90789500413. The reversal of 90789500407 is 70400598709.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90789500407 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90789500437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9222594 + ... + 9232432.

It is an arithmetic number, because the mean of its divisors is an integer number (5771455200).

Almost surely, 2^90789500407 is an apocalyptic number.

90789500407 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

90789500407 is a deficient number, since it is larger than the sum of its proper divisors (1553782793).

90789500407 is a wasteful number, since it uses less digits than its factorization.

90789500407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566.

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 90789500407 in words is "ninety billion, seven hundred eighty-nine million, five hundred thousand, four hundred seven".