820896768 has 132 divisors (see below), whose sum is σ = 2458856400. Its totient is φ = 273549312.

The previous prime is 820896757. The next prime is 820896773. The reversal of 820896768 is 867698028.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247183 + ... + 250481.

It is an arithmetic number, because the mean of its divisors is an integer number (18627700).

Almost surely, 2^820896768 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 820896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229428200).

820896768 is an abundant number, since it is smaller than the sum of its proper divisors (1637959632).

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

820896768 is an equidigital number, since it uses as much as digits as its factorization.

820896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 820896768 is about 28651.2960963374. The cubic root of 820896768 is about 936.3312437081.

It can be divided in two parts, 8208 and 96768, that added together give a 4-th power (104976 = 18⁴).

The spelling of 820896768 in words is "eight hundred twenty million, eight hundred ninety-six thousand, seven hundred sixty-eight".