895578720 has 96 divisors (see below), whose sum is σ = 2825383680. Its totient is φ = 238456320.

The previous prime is 895578713. The next prime is 895578721. The reversal of 895578720 is 27875598.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×895578720² = 1604122487433676800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895578721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488205 + ... + 490035.

It is an arithmetic number, because the mean of its divisors is an integer number (29431080).

Almost surely, 2^895578720 is an apocalyptic number.

895578720 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 895578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412691840).

895578720 is an abundant number, since it is smaller than the sum of its proper divisors (1929804960).

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

895578720 is a wasteful number, since it uses less digits than its factorization.

895578720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The square root of 895578720 is about 29926.2212783372. The cubic root of 895578720 is about 963.9057890175.

The spelling of 895578720 in words is "eight hundred ninety-five million, five hundred seventy-eight thousand, seven hundred twenty".