813127680 has 384 divisors, whose sum is σ = 3078129600. Its totient is φ = 202899456.

The previous prime is 813127639. The next prime is 813127681. The reversal of 813127680 is 86721318.

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

It is a super-2 number, since 2×813127680² = 1322353247964364800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813127681) 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 31 ways as a sum of consecutive naturals, for example, 4700074 + ... + 4700246.

Almost surely, 2^813127680 is an apocalyptic number.

813127680 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 813127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539064800).

813127680 is an abundant number, since it is smaller than the sum of its proper divisors (2265001920).

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

813127680 is a wasteful number, since it uses less digits than its factorization.

813127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 813127680 is about 28515.3937374184. The cubic root of 813127680 is about 933.3680168517.

Adding to 813127680 its reverse (86721318), we get a palindrome (899848998).

The spelling of 813127680 in words is "eight hundred thirteen million, one hundred twenty-seven thousand, six hundred eighty".