819788060 has 192 divisors, whose sum is σ = 2259425280. Its totient is φ = 242611200.

The previous prime is 819788051. The next prime is 819788063. The reversal of 819788060 is 60887918.

It is a junction number, because it is equal to n+sod(n) for n = 819787996 and 819788014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819788063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5221502 + ... + 5221658.

It is an arithmetic number, because the mean of its divisors is an integer number (11767840).

Almost surely, 2^819788060 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 819788060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129712640).

819788060 is an abundant number, since it is smaller than the sum of its proper divisors (1439637220).

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

819788060 is a wasteful number, since it uses less digits than its factorization.

819788060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The square root of 819788060 is about 28631.9412544801. The cubic root of 819788060 is about 935.9095156278.

The spelling of 819788060 in words is "eight hundred nineteen million, seven hundred eighty-eight thousand, sixty".