829088220402 has 90 divisors (see below), whose sum is σ = 2012035630077. Its totient is φ = 255057710544.

The previous prime is 829088220353. The next prime is 829088220437. The reversal of 829088220402 is 204022880928.

829088220402 is a `hidden beast` number, since 82 + 90 + 8 + 82 + 2 + 0 + 402 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 708894957681 + 120193262721 = 841959^2 + 346689^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=643851.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 150658383 + ... + 150663885.

Almost surely, 2^829088220402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829088220402

829088220402 is an abundant number, since it is smaller than the sum of its proper divisors (1182947409675).

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

829088220402 is an frugal number, since it uses more digits than its factorization.

829088220402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11046 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 829088220402 in words is "eight hundred twenty-nine billion, eighty-eight million, two hundred twenty thousand, four hundred two".