895774320 has 240 divisors, whose sum is σ = 3478438080. Its totient is φ = 202346496.

The previous prime is 895774303. The next prime is 895774337. The reversal of 895774320 is 23477598.

895774320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (895774303) and next prime (895774337).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447562 + ... + 449558.

It is an arithmetic number, because the mean of its divisors is an integer number (14493492).

Almost surely, 2^895774320 is an apocalyptic number.

895774320 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 895774320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739219040).

895774320 is an abundant number, since it is smaller than the sum of its proper divisors (2582663760).

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

895774320 is a wasteful number, since it uses less digits than its factorization.

895774320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 895774320 is about 29929.4891369699. The cubic root of 895774320 is about 963.9759582625.

It can be divided in two parts, 89 and 5774320, that added together give a square (5774409 = 2403²).

The spelling of 895774320 in words is "eight hundred ninety-five million, seven hundred seventy-four thousand, three hundred twenty".