829001796 has 144 divisors (see below), whose sum is σ = 2331104832. Its totient is φ = 228480000.

The previous prime is 829001713. The next prime is 829001819. The reversal of 829001796 is 697100928.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3302671 + ... + 3302921.

It is an arithmetic number, because the mean of its divisors is an integer number (16188228).

Almost surely, 2^829001796 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 829001796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165552416).

829001796 is an abundant number, since it is smaller than the sum of its proper divisors (1502103036).

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

829001796 is a wasteful number, since it uses less digits than its factorization.

829001796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 829001796 is about 28792.3912865882. The cubic root of 829001796 is about 939.4027426713.

The spelling of 829001796 in words is "eight hundred twenty-nine million, one thousand, seven hundred ninety-six".