829092049920 has 880 divisors, whose sum is σ = 3147487506240. Its totient is φ = 208971104256.

The previous prime is 829092049897. The next prime is 829092049921. The reversal of 829092049920 is 29940290928.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829092049921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1914762024 + ... + 1914762456.

It is an arithmetic number, because the mean of its divisors is an integer number (3576690348).

Almost surely, 2^829092049920 is an apocalyptic number.

829092049920 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 829092049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573743753120).

829092049920 is an abundant number, since it is smaller than the sum of its proper divisors (2318395456320).

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

829092049920 is an frugal number, since it uses more digits than its factorization.

829092049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 829092049920 in words is "eight hundred twenty-nine billion, ninety-two million, forty-nine thousand, nine hundred twenty".