895790880 has 192 divisors, whose sum is σ = 3236889600. Its totient is φ = 231137280.

The previous prime is 895790879. The next prime is 895790893. The reversal of 895790880 is 88097598.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130576 + ... + 137264.

It is an arithmetic number, because the mean of its divisors is an integer number (16858800).

Almost surely, 2^895790880 is an apocalyptic number.

895790880 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 895790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618444800).

895790880 is an abundant number, since it is smaller than the sum of its proper divisors (2341098720).

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

895790880 is a wasteful number, since it uses less digits than its factorization.

895790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 895790880 is about 29929.7657859195. The cubic root of 895790880 is about 963.9818985025.

The spelling of 895790880 in words is "eight hundred ninety-five million, seven hundred ninety thousand, eight hundred eighty".