829664640 has 512 divisors, whose sum is σ = 3544704000. Its totient is φ = 179656704.

The previous prime is 829664629. The next prime is 829664657. The reversal of 829664640 is 46466928.

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

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, 43666551 + ... + 43666569.

It is an arithmetic number, because the mean of its divisors is an integer number (6923250).

Almost surely, 2^829664640 is an apocalyptic number.

829664640 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 829664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772352000).

829664640 is an abundant number, since it is smaller than the sum of its proper divisors (2715039360).

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

829664640 is an equidigital number, since it uses as much as digits as its factorization.

829664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 829664640 is about 28803.8997359733. The cubic root of 829664640 is about 939.6530483564.

The spelling of 829664640 in words is "eight hundred twenty-nine million, six hundred sixty-four thousand, six hundred forty".