829094220 has 36 divisors (see below), whose sum is σ = 2514919680. Its totient is φ = 221091744.

The previous prime is 829094213. The next prime is 829094257. The reversal of 829094220 is 22490928.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×829094220³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2302860 + ... + 2303219.

It is an arithmetic number, because the mean of its divisors is an integer number (69858880).

Almost surely, 2^829094220 is an apocalyptic number.

It is an amenable number.

829094220 is an abundant number, since it is smaller than the sum of its proper divisors (1685825460).

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

829094220 is a wasteful number, since it uses less digits than its factorization.

829094220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606094 (or 4606089 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 829094220 is about 28793.9962492183. The cubic root of 829094220 is about 939.4376521786.

The spelling of 829094220 in words is "eight hundred twenty-nine million, ninety-four thousand, two hundred twenty".