872399766784 has 72 divisors (see below), whose sum is σ = 2143251407360. Its totient is φ = 345125173248.

The previous prime is 872399766769. The next prime is 872399766787. The reversal of 872399766784 is 487667993278.

It is a super-3 number, since 3×872399766784³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 872399766784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872399766787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18700944 + ... + 18747535.

Almost surely, 2^872399766784 is an apocalyptic number.

It is an amenable number.

872399766784 is an abundant number, since it is smaller than the sum of its proper divisors (1270851640576).

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

872399766784 is a wasteful number, since it uses less digits than its factorization.

872399766784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37448515 (or 37448501 counting only the distinct ones).

The product of its digits is 1536288768, while the sum is 76.

The spelling of 872399766784 in words is "eight hundred seventy-two billion, three hundred ninety-nine million, seven hundred sixty-six thousand, seven hundred eighty-four".