813214080 has 512 divisors, whose sum is σ = 3372364800. Its totient is φ = 183638016.

The previous prime is 813214043. The next prime is 813214099. The reversal of 813214080 is 80412318.

It is a super-2 number, since 2×813214080² = 1322634279820492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9797719 + ... + 9797801.

It is an arithmetic number, because the mean of its divisors is an integer number (6586650).

Almost surely, 2^813214080 is an apocalyptic number.

813214080 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 813214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686182400).

813214080 is an abundant number, since it is smaller than the sum of its proper divisors (2559150720).

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

813214080 is an frugal number, since it uses more digits than its factorization.

813214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 813214080 is about 28516.9086683673. The cubic root of 813214080 is about 933.4010744483.

Adding to 813214080 its reverse (80412318), we get a palindrome (893626398).

The spelling of 813214080 in words is "eight hundred thirteen million, two hundred fourteen thousand, eighty".