820768752 has 60 divisors (see below), whose sum is σ = 2318523480. Its totient is φ = 271027584.

The previous prime is 820768703. The next prime is 820768763. The reversal of 820768752 is 257867028.

It is a super-2 number, since 2×820768752² = 1347322688519275008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820768698 and 820768707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11227 + ... + 42042.

It is an arithmetic number, because the mean of its divisors is an integer number (38642058).

Almost surely, 2^820768752 is an apocalyptic number.

It is an amenable number.

820768752 is an abundant number, since it is smaller than the sum of its proper divisors (1497754728).

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

820768752 is a wasteful number, since it uses less digits than its factorization.

820768752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53390 (or 53381 counting only the distinct ones).

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

The square root of 820768752 is about 28649.0619741729. The cubic root of 820768752 is about 936.2825686426.

The spelling of 820768752 in words is "eight hundred twenty million, seven hundred sixty-eight thousand, seven hundred fifty-two".