820748020 has 24 divisors (see below), whose sum is σ = 1724221800. Its totient is φ = 328175232.

The previous prime is 820747999. The next prime is 820748021. The reversal of 820748020 is 20847028.

It can be written as a sum of positive squares in 4 ways, for example, as 576576144 + 244171876 = 24012^2 + 15626^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820748021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61726 + ... + 73834.

It is an arithmetic number, because the mean of its divisors is an integer number (71842575).

Almost surely, 2^820748020 is an apocalyptic number.

It is an amenable number.

820748020 is an abundant number, since it is smaller than the sum of its proper divisors (903473780).

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

820748020 is a wasteful number, since it uses less digits than its factorization.

820748020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15507 (or 15505 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 820748020 is about 28648.7001450328. The cubic root of 820748020 is about 936.2746853123.

The spelling of 820748020 in words is "eight hundred twenty million, seven hundred forty-eight thousand, twenty".