829725040 has 20 divisors (see below), whose sum is σ = 1929110904. Its totient is φ = 331889984.

The previous prime is 829725031. The next prime is 829725047. The reversal of 829725040 is 40527928.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829725047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5185702 + ... + 5185861.

Almost surely, 2^829725040 is an apocalyptic number.

829725040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829725040 is an abundant number, since it is smaller than the sum of its proper divisors (1099385864).

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

829725040 is a wasteful number, since it uses less digits than its factorization.

829725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371576 (or 10371570 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 829725040 is about 28804.9481860322. The cubic root of 829725040 is about 939.6758502067.

The spelling of 829725040 in words is "eight hundred twenty-nine million, seven hundred twenty-five thousand, forty".