829901941920 has 384 divisors, whose sum is σ = 2935298580480. Its totient is φ = 218982113280.

The previous prime is 829901941919. The next prime is 829901941951. The reversal of 829901941920 is 29149109928.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230975644 + ... + 230979236.

It is an arithmetic number, because the mean of its divisors is an integer number (7644006720).

Almost surely, 2^829901941920 is an apocalyptic number.

829901941920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829901941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467649290240).

829901941920 is an abundant number, since it is smaller than the sum of its proper divisors (2105396638560).

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

829901941920 is a wasteful number, since it uses less digits than its factorization.

829901941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 829901941920 in words is "eight hundred twenty-nine billion, nine hundred one million, nine hundred forty-one thousand, nine hundred twenty".