829139220 has 384 divisors, whose sum is σ = 3251404800. Its totient is φ = 170740224.

The previous prime is 829139197. The next prime is 829139239. The reversal of 829139220 is 22931928.

It is a super-2 number, since 2×829139220² = 1374943692284416800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2309401 + ... + 2309759.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2^829139220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829139220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

829139220 is an abundant number, since it is smaller than the sum of its proper divisors (2422265580).

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

829139220 is a wasteful number, since it uses less digits than its factorization.

829139220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 829139220 is about 28794.7776515117. Note that the first 3 decimals coincide. The cubic root of 829139220 is about 939.4546482081.

The spelling of 829139220 in words is "eight hundred twenty-nine million, one hundred thirty-nine thousand, two hundred twenty".