820743869400 has 288 divisors, whose sum is σ = 3148662044160. Its totient is φ = 173167787520.

The previous prime is 820743869371. The next prime is 820743869401. The reversal of 820743869400 is 4968347028.

820743869400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820743869401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131649 + ... + 1287951.

It is an arithmetic number, because the mean of its divisors is an integer number (10932854320).

Almost surely, 2^820743869400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820743869400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574331022080).

820743869400 is an abundant number, since it is smaller than the sum of its proper divisors (2327918174760).

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

820743869400 is a wasteful number, since it uses less digits than its factorization.

820743869400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156355 (or 1156333 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 820743869400 in words is "eight hundred twenty billion, seven hundred forty-three million, eight hundred sixty-nine thousand, four hundred".