891300480 has 512 divisors, whose sum is σ = 3553320960. Its totient is φ = 185401344.

The previous prime is 891300479. The next prime is 891300481. The reversal of 891300480 is 84003198.

It is an interprime number because it is at equal distance from previous prime (891300479) and next prime (891300481).

It is not an unprimeable number, because it can be changed into a prime (891300481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10738519 + ... + 10738601.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2^891300480 is an apocalyptic number.

891300480 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 891300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776660480).

891300480 is an abundant number, since it is smaller than the sum of its proper divisors (2662020480).

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

891300480 is a wasteful number, since it uses less digits than its factorization.

891300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 891300480 is about 29854.6559182986. The cubic root of 891300480 is about 962.3684574266.

It can be divided in two parts, 891300 and 480, that added together give a triangular number (891780 = T₁₃₃₅).

The spelling of 891300480 in words is "eight hundred ninety-one million, three hundred thousand, four hundred eighty".