810052000 has 96 divisors (see below), whose sum is σ = 2028381264. Its totient is φ = 317824000.

The previous prime is 810051967. The next prime is 810052007. The reversal of 810052000 is 250018.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 203119504 + 606932496 = 14252^2 + 24636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (810052007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210090 + ... + 213910.

Almost surely, 2^810052000 is an apocalyptic number.

810052000 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 810052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014190632).

810052000 is an abundant number, since it is smaller than the sum of its proper divisors (1218329264).

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

810052000 is a wasteful number, since it uses less digits than its factorization.

810052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 810052000 is about 28461.4124737336. The cubic root of 810052000 is about 932.1896990248.

The spelling of 810052000 in words is "eight hundred ten million, fifty-two thousand".