810129264 has 80 divisors (see below), whose sum is σ = 2418773760. Its totient is φ = 228856320.

The previous prime is 810129259. The next prime is 810129269. The reversal of 810129264 is 462921018.

It is an interprime number because it is at equal distance from previous prime (810129259) and next prime (810129269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810129269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16359 + ... + 43449.

It is an arithmetic number, because the mean of its divisors is an integer number (30234672).

Almost surely, 2^810129264 is an apocalyptic number.

810129264 is a gapful number since it is divisible by the number (84) 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 810129264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209386880).

810129264 is an abundant number, since it is smaller than the sum of its proper divisors (1608644496).

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

810129264 is a wasteful number, since it uses less digits than its factorization.

810129264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27198 (or 27192 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 810129264 is about 28462.7697879177. The cubic root of 810129264 is about 932.2193359761.

The spelling of 810129264 in words is "eight hundred ten million, one hundred twenty-nine thousand, two hundred sixty-four".