820300392 has 32 divisors (see below), whose sum is σ = 2278612800. Its totient is φ = 273433392.

The previous prime is 820300391. The next prime is 820300421. The reversal of 820300392 is 293003028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (820300391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1898628 + ... + 1899059.

It is an arithmetic number, because the mean of its divisors is an integer number (71206650).

Almost surely, 2^820300392 is an apocalyptic number.

It is an amenable number.

820300392 is an abundant number, since it is smaller than the sum of its proper divisors (1458312408).

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

820300392 is a wasteful number, since it uses less digits than its factorization.

820300392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797702 (or 3797692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 820300392 is about 28640.8867181168. The cubic root of 820300392 is about 936.1044426518.

The spelling of 820300392 in words is "eight hundred twenty million, three hundred thousand, three hundred ninety-two".