891125760 has 384 divisors, whose sum is σ = 3406771440. Its totient is φ = 198180864.

The previous prime is 891125747. The next prime is 891125773. The reversal of 891125760 is 67521198.

It is an interprime number because it is at equal distance from previous prime (891125747) and next prime (891125773).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24084462 + ... + 24084498.

Almost surely, 2^891125760 is an apocalyptic number.

891125760 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 891125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703385720).

891125760 is an abundant number, since it is smaller than the sum of its proper divisors (2515645680).

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

891125760 is an equidigital number, since it uses as much as digits as its factorization.

891125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 891125760 is about 29851.7295981322. The cubic root of 891125760 is about 962.3055695420.

The spelling of 891125760 in words is "eight hundred ninety-one million, one hundred twenty-five thousand, seven hundred sixty".