813780000 has 480 divisors, whose sum is σ = 3259206720. Its totient is φ = 195840000.

The previous prime is 813779969. The next prime is 813780001. The reversal of 813780000 is 87318.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (813780001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5939932 + ... + 5940068.

It is an arithmetic number, because the mean of its divisors is an integer number (6790014).

Almost surely, 2^813780000 is an apocalyptic number.

813780000 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 813780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629603360).

813780000 is an abundant number, since it is smaller than the sum of its proper divisors (2445426720).

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

813780000 is a wasteful number, since it uses less digits than its factorization.

813780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

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

The square root of 813780000 is about 28526.8294768276. The cubic root of 813780000 is about 933.6175438314.

The spelling of 813780000 in words is "eight hundred thirteen million, seven hundred eighty thousand".