829270067400 has 576 divisors, whose sum is σ = 3042622968000. Its totient is φ = 207559065600.

The previous prime is 829270067377. The next prime is 829270067407. The reversal of 829270067400 is 4760072928.

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

It is not an unprimeable number, because it can be changed into a prime (829270067407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1078374216 + ... + 1078374984.

Almost surely, 2^829270067400 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 829270067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521311484000).

829270067400 is an abundant number, since it is smaller than the sum of its proper divisors (2213352900600).

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

829270067400 is a wasteful number, since it uses less digits than its factorization.

829270067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1487 counting only the distinct ones).

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

The spelling of 829270067400 in words is "eight hundred twenty-nine billion, two hundred seventy million, sixty-seven thousand, four hundred".