838430775 has 72 divisors (see below), whose sum is σ = 1848319200. Its totient is φ = 353790720.

The previous prime is 838430741. The next prime is 838430779. The reversal of 838430775 is 577034838.

838430775 is a nontrivial binomial coefficient, being equal to C(40950, 2).

It is not a de Polignac number, because 838430775 - 2²⁷ = 704213047 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 838430775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838430779) 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 71 ways as a sum of consecutive naturals, for example, 1 + ... + 40949.

It is an arithmetic number, because the mean of its divisors is an integer number (25671100).

Almost surely, 2^838430775 is an apocalyptic number.

838430775 is the 40949-th triangular number and also the 20475-th hexagonal number.

838430775 is an abundant number, since it is smaller than the sum of its proper divisors (1009888425).

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

838430775 is a wasteful number, since it uses less digits than its factorization.

838430775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40985 (or 40977 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 838430775 is about 28955.6691340401. The cubic root of 838430775 is about 942.9508803400.

The spelling of 838430775 in words is "eight hundred thirty-eight million, four hundred thirty thousand, seven hundred seventy-five".