880056000769 has 15 divisors (see below), whose sum is σ = 968180468115. Its totient is φ = 799947717360.

The previous prime is 880056000757. The next prime is 880056000779. The reversal of 880056000769 is 967000650088.

The square root of 880056000769 is 938113.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 875974324225 + 4081676544 = 935935^2 + 63888^2 .

It is not a de Polignac number, because 880056000769 - 2⁵ = 880056000737 is a prime.

It is a super-2 number, since 2×880056000769² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (880056000709) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 113507797 + ... + 113515549.

It is an arithmetic number, because the mean of its divisors is an integer number (64545364541).

Almost surely, 2^880056000769 is an apocalyptic number.

880056000769 is the 938113-rd square number.

880056000769 is the 469057-th centered octagonal number.

It is an amenable number.

880056000769 is a deficient number, since it is larger than the sum of its proper divisors (88124467346).

880056000769 is an frugal number, since it uses more digits than its factorization.

880056000769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15550 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 880056000769 by its sum of digits (49), we get a square (43122744037681 = 6566791²).

The spelling of 880056000769 in words is "eight hundred eighty billion, fifty-six million, seven hundred sixty-nine", and thus it is an aban number.