820059768 has 64 divisors (see below), whose sum is σ = 2485036800. Its totient is φ = 248502240.

The previous prime is 820059689. The next prime is 820059769. The reversal of 820059768 is 867950028.

It is a super-3 number, since 3×820059768³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820059769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170196 + ... + 174947.

It is an arithmetic number, because the mean of its divisors is an integer number (38828700).

Almost surely, 2^820059768 is an apocalyptic number.

820059768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

820059768 is an abundant number, since it is smaller than the sum of its proper divisors (1664977032).

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

820059768 is a wasteful number, since it uses less digits than its factorization.

820059768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345169 (or 345159 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 820059768 is about 28636.6857020850. The cubic root of 820059768 is about 936.0129025177.

The spelling of 820059768 in words is "eight hundred twenty million, fifty-nine thousand, seven hundred sixty-eight".