810126720 has 384 divisors, whose sum is σ = 3118752000. Its totient is φ = 192430080.

The previous prime is 810126703. The next prime is 810126743. The reversal of 810126720 is 27621018.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2321106 + ... + 2321454.

It is an arithmetic number, because the mean of its divisors is an integer number (8121750).

Almost surely, 2^810126720 is an apocalyptic number.

810126720 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 810126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559376000).

810126720 is an abundant number, since it is smaller than the sum of its proper divisors (2308625280).

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

810126720 is a wasteful number, since it uses less digits than its factorization.

810126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 810126720 is about 28462.7250979241. The cubic root of 810126720 is about 932.2183601777.

Adding to 810126720 its reverse (27621018), we get a palindrome (837747738).

The spelling of 810126720 in words is "eight hundred ten million, one hundred twenty-six thousand, seven hundred twenty".