891227680 has 288 divisors, whose sum is σ = 2675151360. Its totient is φ = 278691840.

The previous prime is 891227671. The next prime is 891227693. The reversal of 891227680 is 86722198.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4617664 + ... + 4617856.

It is an arithmetic number, because the mean of its divisors is an integer number (9288720).

Almost surely, 2^891227680 is an apocalyptic number.

891227680 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 891227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337575680).

891227680 is an abundant number, since it is smaller than the sum of its proper divisors (1783923680).

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

891227680 is a wasteful number, since it uses less digits than its factorization.

891227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 891227680 is about 29853.4366530890. The cubic root of 891227680 is about 962.3422551402.

The spelling of 891227680 in words is "eight hundred ninety-one million, two hundred twenty-seven thousand, six hundred eighty".