891233280 has 440 divisors, whose sum is σ = 3661804608. Its totient is φ = 203046912.

The previous prime is 891233267. The next prime is 891233309. The reversal of 891233280 is 82332198.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902887 + ... + 2903193.

Almost surely, 2^891233280 is an apocalyptic number.

891233280 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 891233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830902304).

891233280 is an abundant number, since it is smaller than the sum of its proper divisors (2770571328).

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

891233280 is a wasteful number, since it uses less digits than its factorization.

891233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 891233280 is about 29853.5304444885. The cubic root of 891233280 is about 962.3442707514.

The spelling of 891233280 in words is "eight hundred ninety-one million, two hundred thirty-three thousand, two hundred eighty".