819396960 has 192 divisors, whose sum is σ = 2717245440. Its totient is φ = 207267840.

The previous prime is 819396959. The next prime is 819396979. The reversal of 819396960 is 69693918.

It is a super-2 number, since 2×819396960² = 1342822756114483200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788121 + ... + 789159.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2^819396960 is an apocalyptic number.

819396960 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 819396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

819396960 is an abundant number, since it is smaller than the sum of its proper divisors (1897848480).

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

819396960 is a wasteful number, since it uses less digits than its factorization.

819396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 819396960 is about 28625.1106548080. The cubic root of 819396960 is about 935.7606590906.

The spelling of 819396960 in words is "eight hundred nineteen million, three hundred ninety-six thousand, nine hundred sixty".