872197680 has 160 divisors (see below), whose sum is σ = 2776965120. Its totient is φ = 226370560.

The previous prime is 872197673. The next prime is 872197691. The reversal of 872197680 is 86791278.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2429341 + ... + 2429699.

It is an arithmetic number, because the mean of its divisors is an integer number (17356032).

Almost surely, 2^872197680 is an apocalyptic number.

872197680 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 872197680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388482560).

872197680 is an abundant number, since it is smaller than the sum of its proper divisors (1904767440).

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

872197680 is a wasteful number, since it uses less digits than its factorization.

872197680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 872197680 is about 29532.9930755418. The cubic root of 872197680 is about 955.4434240956.

The spelling of 872197680 in words is "eight hundred seventy-two million, one hundred ninety-seven thousand, six hundred eighty".