829910640 has 160 divisors (see below), whose sum is σ = 2781446976. Its totient is φ = 203489280.

The previous prime is 829910639. The next prime is 829910651. The reversal of 829910640 is 46019928.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438032 + ... + 1438608.

Almost surely, 2^829910640 is an apocalyptic number.

829910640 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 829910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390723488).

829910640 is an abundant number, since it is smaller than the sum of its proper divisors (1951536336).

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

829910640 is a wasteful number, since it uses less digits than its factorization.

829910640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 829910640 is about 28808.1696745906. The cubic root of 829910640 is about 939.7459098959.

The spelling of 829910640 in words is "eight hundred twenty-nine million, nine hundred ten thousand, six hundred forty".