810252000 has 288 divisors, whose sum is σ = 2925284544. Its totient is φ = 212352000.

The previous prime is 810251983. The next prime is 810252007. The reversal of 810252000 is 252018.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810252007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2555842 + ... + 2556158.

It is an arithmetic number, because the mean of its divisors is an integer number (10157238).

Almost surely, 2^810252000 is an apocalyptic number.

810252000 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 810252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462642272).

810252000 is an abundant number, since it is smaller than the sum of its proper divisors (2115032544).

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

810252000 is a wasteful number, since it uses less digits than its factorization.

810252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 810252000 is about 28464.9257859563. The cubic root of 810252000 is about 932.2664112187.

Adding to 810252000 its sum of digits (18), we get a palindrome (810252018).

The spelling of 810252000 in words is "eight hundred ten million, two hundred fifty-two thousand".