819729120 has 384 divisors, whose sum is σ = 3177086976. Its totient is φ = 173408256.

The previous prime is 819729101. The next prime is 819729133. The reversal of 819729120 is 21927918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6454497 + ... + 6454623.

It is an arithmetic number, because the mean of its divisors is an integer number (8273664).

Almost surely, 2^819729120 is an apocalyptic number.

819729120 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 819729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588543488).

819729120 is an abundant number, since it is smaller than the sum of its proper divisors (2357357856).

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

819729120 is a wasteful number, since it uses less digits than its factorization.

819729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 819729120 is about 28630.9119659154. The cubic root of 819729120 is about 935.8870855098.

The spelling of 819729120 in words is "eight hundred nineteen million, seven hundred twenty-nine thousand, one hundred twenty".