819265104 has 400 divisors, whose sum is σ = 2940784000. Its totient is φ = 219469824.

The previous prime is 819265067. The next prime is 819265127. The reversal of 819265104 is 401562918.

819265104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 8445984 + ... + 8446080.

It is an arithmetic number, because the mean of its divisors is an integer number (7351960).

Almost surely, 2^819265104 is an apocalyptic number.

819265104 is a gapful number since it is divisible by the number (84) 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 819265104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470392000).

819265104 is an abundant number, since it is smaller than the sum of its proper divisors (2121518896).

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

819265104 is a wasteful number, since it uses less digits than its factorization.

819265104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 819265104 is about 28622.8074094768. The cubic root of 819265104 is about 935.7104627135.

The spelling of 819265104 in words is "eight hundred nineteen million, two hundred sixty-five thousand, one hundred four".