810503072 has 48 divisors (see below), whose sum is σ = 1680497280. Its totient is φ = 384037632.

The previous prime is 810503069. The next prime is 810503081. The reversal of 810503072 is 270305018.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75173 + ... + 85275.

It is an arithmetic number, because the mean of its divisors is an integer number (35010360).

Almost surely, 2^810503072 is an apocalyptic number.

810503072 is the 15218-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810503072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840248640).

810503072 is an abundant number, since it is smaller than the sum of its proper divisors (869994208).

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

810503072 is a wasteful number, since it uses less digits than its factorization.

810503072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245 (or 10237 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 810503072 is about 28469.3356438116. The cubic root of 810503072 is about 932.3626947699.

The spelling of 810503072 in words is "eight hundred ten million, five hundred three thousand, seventy-two".