879504476761 has 3 divisors (see below), whose sum is σ = 879505414581. Its totient is φ = 879503538942.

The previous prime is 879504476737. The next prime is 879504476777. The reversal of 879504476761 is 167674405978.

The square root of 879504476761 is 937819.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 879504476761 - 2³⁵ = 845144738393 is a prime.

It is a super-2 number, since 2×879504476761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 879504476693 and 879504476702.

It is not an unprimeable number, because it can be changed into a prime (879504476161) 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 2 ways as a sum of consecutive naturals, for example, 468910 + ... + 1406728.

It is an arithmetic number, because the mean of its divisors is an integer number (293168471527).

Almost surely, 2^879504476761 is an apocalyptic number.

879504476761 is the 937819-th square number.

879504476761 is the 468910-th centered octagonal number.

It is an amenable number.

879504476761 is a deficient number, since it is larger than the sum of its proper divisors (937820).

879504476761 is an frugal number, since it uses more digits than its factorization.

879504476761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875638 (or 937819 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

Multiplying 879504476761 by its sum of digits (64), we get a square (56288286512704 = 7502552²).

The spelling of 879504476761 in words is "eight hundred seventy-nine billion, five hundred four million, four hundred seventy-six thousand, seven hundred sixty-one".