829763055 has 64 divisors (see below), whose sum is σ = 1619942400. Its totient is φ = 399634560.

The previous prime is 829763029. The next prime is 829763059. The reversal of 829763055 is 550367928.

It is a happy number.

829763055 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 630 + 5 + 5 = 666.

It is not a de Polignac number, because 829763055 - 2⁵ = 829763023 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 829763055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829763059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231366 + ... + 234924.

It is an arithmetic number, because the mean of its divisors is an integer number (25311600).

Almost surely, 2^829763055 is an apocalyptic number.

829763055 is a deficient number, since it is larger than the sum of its proper divisors (790179345).

829763055 is a wasteful number, since it uses less digits than its factorization.

829763055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 829763055 is about 28805.6080477396. The cubic root of 829763055 is about 939.6902008370.

The spelling of 829763055 in words is "eight hundred twenty-nine million, seven hundred sixty-three thousand, fifty-five".