810169920 has 252 divisors, whose sum is σ = 3242174364. Its totient is φ = 185149440.

The previous prime is 810169891. The next prime is 810169933. The reversal of 810169920 is 29961018.

It can be written as a sum of positive squares in 2 ways, for example, as 347747904 + 462422016 = 18648^2 + 21504^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138250 + ... + 143990.

Almost surely, 2^810169920 is an apocalyptic number.

810169920 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 810169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621087182).

810169920 is an abundant number, since it is smaller than the sum of its proper divisors (2432004444).

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

810169920 is a wasteful number, since it uses less digits than its factorization.

810169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 810169920 is about 28463.4839750864. The cubic root of 810169920 is about 932.2349300617.

The spelling of 810169920 in words is "eight hundred ten million, one hundred sixty-nine thousand, nine hundred twenty".