820800747 has 24 divisors (see below), whose sum is σ = 1332318624. Its totient is φ = 483145344.

The previous prime is 820800731. The next prime is 820800763. The reversal of 820800747 is 747008028.

It is an interprime number because it is at equal distance from previous prime (820800731) and next prime (820800763).

It is not a de Polignac number, because 820800747 - 2⁴ = 820800731 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820800767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 149818 + ... + 155199.

It is an arithmetic number, because the mean of its divisors is an integer number (55513276).

Almost surely, 2^820800747 is an apocalyptic number.

820800747 is a deficient number, since it is larger than the sum of its proper divisors (511517877).

820800747 is a wasteful number, since it uses less digits than its factorization.

820800747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305059 (or 305056 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 820800747 is about 28649.6203639769. The cubic root of 820800747 is about 936.2947344613.

The spelling of 820800747 in words is "eight hundred twenty million, eight hundred thousand, seven hundred forty-seven".