872195760 has 240 divisors, whose sum is σ = 3118252800. Its totient is φ = 217852416.

The previous prime is 872195729. The next prime is 872195767. The reversal of 872195760 is 67591278.

872195760 is a `hidden beast` number, since 8 + 72 + 1 + 9 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (872195767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1408731 + ... + 1409349.

It is an arithmetic number, because the mean of its divisors is an integer number (12992720).

Almost surely, 2^872195760 is an apocalyptic number.

872195760 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 872195760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559126400).

872195760 is an abundant number, since it is smaller than the sum of its proper divisors (2246057040).

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

872195760 is a wasteful number, since it uses less digits than its factorization.

872195760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 872195760 is about 29532.9605695061. The cubic root of 872195760 is about 955.4427230111.

The spelling of 872195760 in words is "eight hundred seventy-two million, one hundred ninety-five thousand, seven hundred sixty".