819360360 has 480 divisors, whose sum is σ = 3458707560. Its totient is φ = 172440576.

The previous prime is 819360331. The next prime is 819360371. The reversal of 819360360 is 63063918.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 579172356 + 240188004 = 24066^2 + 15498^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063682 + ... + 2064078.

Almost surely, 2^819360360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819360360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729353780).

819360360 is an abundant number, since it is smaller than the sum of its proper divisors (2639347200).

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

819360360 is a wasteful number, since it uses less digits than its factorization.

819360360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 819360360 is about 28624.4713488302. The cubic root of 819360360 is about 935.7467263443.

The spelling of 819360360 in words is "eight hundred nineteen million, three hundred sixty thousand, three hundred sixty".