829078820352 has 200 divisors, whose sum is σ = 2479396266072. Its totient is φ = 275821977600.

The previous prime is 829078820333. The next prime is 829078820371. The reversal of 829078820352 is 253028870928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (829078820333) and next prime (829078820371).

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 19 ways as a sum of consecutive naturals, for example, 21587727 + ... + 21626097.

Almost surely, 2^829078820352 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 829078820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239698133036).

829078820352 is an abundant number, since it is smaller than the sum of its proper divisors (1650317445720).

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

829078820352 is an equidigital number, since it uses as much as digits as its factorization.

829078820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38922 (or 38897 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 829078820352 in words is "eight hundred twenty-nine billion, seventy-eight million, eight hundred twenty thousand, three hundred fifty-two".