829577340 has 72 divisors (see below), whose sum is σ = 2625805728. Its totient is φ = 211601280.

The previous prime is 829577327. The next prime is 829577383. The reversal of 829577340 is 43775928.

829577340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 96051 + ... + 104330.

It is an arithmetic number, because the mean of its divisors is an integer number (36469524).

Almost surely, 2^829577340 is an apocalyptic number.

It is an amenable number.

829577340 is an abundant number, since it is smaller than the sum of its proper divisors (1796228388).

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

829577340 is a wasteful number, since it uses less digits than its factorization.

829577340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200419 (or 200414 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 829577340 is about 28802.3842763060. The cubic root of 829577340 is about 939.6200894215.

The spelling of 829577340 in words is "eight hundred twenty-nine million, five hundred seventy-seven thousand, three hundred forty".