820719392256 has 400 divisors, whose sum is σ = 2533556775024. Its totient is φ = 264357789696.

The previous prime is 820719392243. The next prime is 820719392341. The reversal of 820719392256 is 652293917028.

It is a super-3 number, since 3×820719392256³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147264286 + ... + 147269858.

Almost surely, 2^820719392256 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 820719392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266778387512).

820719392256 is an abundant number, since it is smaller than the sum of its proper divisors (1712837382768).

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

820719392256 is an equidigital number, since it uses as much as digits as its factorization.

820719392256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 820719392256 in words is "eight hundred twenty billion, seven hundred nineteen million, three hundred ninety-two thousand, two hundred fifty-six".