829440752 has 40 divisors (see below), whose sum is σ = 1838918016. Its totient is φ = 355029696.

The previous prime is 829440749. The next prime is 829440791. The reversal of 829440752 is 257044928.

It is a super-2 number, since 2×829440752² = 1375943922156651008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94703 + ... + 103089.

Almost surely, 2^829440752 is an apocalyptic number.

It is an amenable number.

829440752 is an abundant number, since it is smaller than the sum of its proper divisors (1009477264).

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

829440752 is a wasteful number, since it uses less digits than its factorization.

829440752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 829440752 is about 28800.0130555526. The cubic root of 829440752 is about 939.5685178292.

The spelling of 829440752 in words is "eight hundred twenty-nine million, four hundred forty thousand, seven hundred fifty-two".