829882368000 has 1280 divisors, whose sum is σ = 3559450752000. Its totient is φ = 186856243200.

The previous prime is 829882367983. The next prime is 829882368013. The reversal of 829882368000 is 863288928.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

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, 12386303967 + ... + 12386304033.

It is an arithmetic number, because the mean of its divisors is an integer number (2780820900).

Almost surely, 2^829882368000 is an apocalyptic number.

829882368000 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 829882368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779725376000).

829882368000 is an abundant number, since it is smaller than the sum of its proper divisors (2729568384000).

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

829882368000 is an frugal number, since it uses more digits than its factorization.

829882368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 829882368000 in words is "eight hundred twenty-nine billion, eight hundred eighty-two million, three hundred sixty-eight thousand".