829677420 has 144 divisors (see below), whose sum is σ = 2956760352. Its totient is φ = 185656320.

The previous prime is 829677419. The next prime is 829677473. The reversal of 829677420 is 24776928.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9624 + ... + 41856.

It is an arithmetic number, because the mean of its divisors is an integer number (20533058).

Almost surely, 2^829677420 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 829677420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478380176).

829677420 is an abundant number, since it is smaller than the sum of its proper divisors (2127082932).

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

829677420 is a wasteful number, since it uses less digits than its factorization.

829677420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32272 (or 32267 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 829677420 is about 28804.1215800795. The cubic root of 829677420 is about 939.6578730786.

The spelling of 829677420 in words is "eight hundred twenty-nine million, six hundred seventy-seven thousand, four hundred twenty".