810805248 has 384 divisors, whose sum is σ = 2767564800. Its totient is φ = 232243200.

The previous prime is 810805241. The next prime is 810805267. The reversal of 810805248 is 842508018.

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

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

It is not an unprimeable number, because it can be changed into a prime (810805241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18855915 + ... + 18855957.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^810805248 is an apocalyptic number.

810805248 is a gapful number since it is divisible by the number (88) 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 810805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

810805248 is an abundant number, since it is smaller than the sum of its proper divisors (1956759552).

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

810805248 is a wasteful number, since it uses less digits than its factorization.

810805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

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

The square root of 810805248 is about 28474.6421926598. The cubic root of 810805248 is about 932.4785498208.

The spelling of 810805248 in words is "eight hundred ten million, eight hundred five thousand, two hundred forty-eight".