820781752320 has 896 divisors, whose sum is σ = 3057460992000. Its totient is φ = 208656138240.

The previous prime is 820781752313. The next prime is 820781752361. The reversal of 820781752320 is 23257187028.

820781752320 is a `hidden beast` number, since 8 + 20 + 7 + 81 + 7 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3051233146 + ... + 3051233414.

Almost surely, 2^820781752320 is an apocalyptic number.

820781752320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820781752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528730496000).

820781752320 is an abundant number, since it is smaller than the sum of its proper divisors (2236679239680).

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

820781752320 is a wasteful number, since it uses less digits than its factorization.

820781752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 820781752320 in words is "eight hundred twenty billion, seven hundred eighty-one million, seven hundred fifty-two thousand, three hundred twenty".