872775680 has 128 divisors (see below), whose sum is σ = 2397008160. Its totient is φ = 298844160.

The previous prime is 872775653. The next prime is 872775707. The reversal of 872775680 is 86577278.

It is an interprime number because it is at equal distance from previous prime (872775653) and next prime (872775707).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146500 + ... + 1147260.

Almost surely, 2^872775680 is an apocalyptic number.

872775680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198504080).

872775680 is an abundant number, since it is smaller than the sum of its proper divisors (1524232480).

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

872775680 is an frugal number, since it uses more digits than its factorization.

872775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 50.

The square root of 872775680 is about 29542.7771206432. Note that the first 3 decimals coincide. The cubic root of 872775680 is about 955.6544329707.

The spelling of 872775680 in words is "eight hundred seventy-two million, seven hundred seventy-five thousand, six hundred eighty".