810485280 has 288 divisors, whose sum is σ = 3177195840. Its totient is φ = 186071040.

The previous prime is 810485279. The next prime is 810485317. The reversal of 810485280 is 82584018.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299614 + ... + 302306.

It is an arithmetic number, because the mean of its divisors is an integer number (11031930).

Almost surely, 2^810485280 is an apocalyptic number.

810485280 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 810485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588597920).

810485280 is an abundant number, since it is smaller than the sum of its proper divisors (2366710560).

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

810485280 is a wasteful number, since it uses less digits than its factorization.

810485280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 810485280 is about 28469.0231655391. The cubic root of 810485280 is about 932.3558723740.

The spelling of 810485280 in words is "eight hundred ten million, four hundred eighty-five thousand, two hundred eighty".