891077345280 has 840 divisors, whose sum is σ = 3290334217632. Its totient is φ = 231425703936.

The previous prime is 891077345269. The next prime is 891077345297. The reversal of 891077345280 is 82543770198.

It is a happy number.

891077345280 is a `hidden beast` number, since 8 + 9 + 10 + 7 + 7 + 345 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2567946067 + ... + 2567946413.

Almost surely, 2^891077345280 is an apocalyptic number.

891077345280 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 891077345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645167108816).

891077345280 is an abundant number, since it is smaller than the sum of its proper divisors (2399256872352).

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

891077345280 is an frugal number, since it uses more digits than its factorization.

891077345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 891077345280 in words is "eight hundred ninety-one billion, seventy-seven million, three hundred forty-five thousand, two hundred eighty".