813069600 has 144 divisors (see below), whose sum is σ = 3024681408. Its totient is φ = 185840640.

The previous prime is 813069563. The next prime is 813069611. The reversal of 813069600 is 6960318.

It is a super-2 number, since 2×813069600² = 1322164348888320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7399 + ... + 40998.

It is an arithmetic number, because the mean of its divisors is an integer number (21004732).

Almost surely, 2^813069600 is an apocalyptic number.

813069600 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 813069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512340704).

813069600 is an abundant number, since it is smaller than the sum of its proper divisors (2211611808).

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

813069600 is a wasteful number, since it uses less digits than its factorization.

813069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48427 (or 48414 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 813069600 is about 28514.3753219319. The cubic root of 813069600 is about 933.3457934844.

The spelling of 813069600 in words is "eight hundred thirteen million, sixty-nine thousand, six hundred".