810210400 has 36 divisors (see below), whose sum is σ = 1977928092. Its totient is φ = 324083840.

The previous prime is 810210377. The next prime is 810210409. The reversal of 810210400 is 4012018.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810210409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 505582 + ... + 507181.

It is an arithmetic number, because the mean of its divisors is an integer number (54942447).

Almost surely, 2^810210400 is an apocalyptic number.

810210400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

810210400 is an abundant number, since it is smaller than the sum of its proper divisors (1167717692).

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

810210400 is a wasteful number, since it uses less digits than its factorization.

810210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012783 (or 1012770 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 810210400 is about 28464.1950527325. The cubic root of 810210400 is about 932.2504561222.

Adding to 810210400 its reverse (4012018), we get a palindrome (814222418).

The spelling of 810210400 in words is "eight hundred ten million, two hundred ten thousand, four hundred".