810873920 has 56 divisors (see below), whose sum is σ = 1934087064. Its totient is φ = 323813376.

The previous prime is 810873893. The next prime is 810873949. The reversal of 810873920 is 29378018.

It can be written as a sum of positive squares in 4 ways, for example, as 74511424 + 736362496 = 8632^2 + 27136^2 .

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, 232832 + ... + 236288.

It is an arithmetic number, because the mean of its divisors is an integer number (34537269).

Almost surely, 2^810873920 is an apocalyptic number.

810873920 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 810873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967043532).

810873920 is an abundant number, since it is smaller than the sum of its proper divisors (1123213144).

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

810873920 is a wasteful number, since it uses less digits than its factorization.

810873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 810873920 is about 28475.8480119557. The cubic root of 810873920 is about 932.5048748269.

It can be divided in two parts, 8108 and 73920, that added together give a palindrome (82028).

The spelling of 810873920 in words is "eight hundred ten million, eight hundred seventy-three thousand, nine hundred twenty".