819960960 has 576 divisors, whose sum is σ = 3413638080. Its totient is φ = 163897344.

The previous prime is 819960913. The next prime is 819960989. The reversal of 819960960 is 69069918.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43155831 + ... + 43155849.

It is an arithmetic number, because the mean of its divisors is an integer number (5926455).

Almost surely, 2^819960960 is an apocalyptic number.

819960960 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 819960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706819040).

819960960 is an abundant number, since it is smaller than the sum of its proper divisors (2593677120).

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

819960960 is a wasteful number, since it uses less digits than its factorization.

819960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 819960960 is about 28634.9604504703. The cubic root of 819960960 is about 935.9753079906.

The spelling of 819960960 in words is "eight hundred nineteen million, nine hundred sixty thousand, nine hundred sixty".