810300072 has 32 divisors (see below), whose sum is σ = 2091098880. Its totient is φ = 261386880.

The previous prime is 810300047. The next prime is 810300089. The reversal of 810300072 is 270003018.

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 7 ways as a sum of consecutive naturals, for example, 543813 + ... + 545300.

It is an arithmetic number, because the mean of its divisors is an integer number (65346840).

Almost surely, 2^810300072 is an apocalyptic number.

It is an amenable number.

810300072 is an abundant number, since it is smaller than the sum of its proper divisors (1280798808).

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

810300072 is a wasteful number, since it uses less digits than its factorization.

810300072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089153 (or 1089149 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 810300072 is about 28465.7701810438. The cubic root of 810300072 is about 932.2848478798.

The spelling of 810300072 in words is "eight hundred ten million, three hundred thousand, seventy-two".