880307433009 has 27 divisors (see below), whose sum is σ = 1350825815937. Its totient is φ = 552319737984.

The previous prime is 880307432999. The next prime is 880307433107. The reversal of 880307433009 is 900334703088.

It is a happy number.

The square root of 880307433009 is 938247.

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

880307433009 is a `hidden beast` number, since 8 + 8 + 0 + 307 + 4 + 330 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 426543528609 + 453763904400 = 653103^2 + 673620^2 .

It is not a de Polignac number, because 880307433009 - 2¹⁹ = 880306908721 is a prime.

It is a super-3 number, since 3×880307433009³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (880307433209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47841399 + ... + 47859795.

Almost surely, 2^880307433009 is an apocalyptic number.

880307433009 is the 938247-th square number.

880307433009 is the 469124-th centered octagonal number.

It is an amenable number.

880307433009 is a deficient number, since it is larger than the sum of its proper divisors (470518382928).

880307433009 is an frugal number, since it uses more digits than its factorization.

880307433009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36834 (or 18417 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 880307 and 433009, that added together give a square (1313316 = 1146²).

The spelling of 880307433009 in words is "eight hundred eighty billion, three hundred seven million, four hundred thirty-three thousand, nine".