819875712 has 64 divisors (see below), whose sum is σ = 2181461760. Its totient is φ = 272832000.

The previous prime is 819875671. The next prime is 819875723. The reversal of 819875712 is 217578918.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×819875712⁴ (a number of 37 digits) contains 4444 as substring.

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 7 ways as a sum of consecutive naturals, for example, 286963 + ... + 289805.

It is an arithmetic number, because the mean of its divisors is an integer number (34085340).

Almost surely, 2^819875712 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 819875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090730880).

819875712 is an abundant number, since it is smaller than the sum of its proper divisors (1361586048).

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

819875712 is a wasteful number, since it uses less digits than its factorization.

819875712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3599 counting only the distinct ones).

The product of its digits is 282240, while the sum is 48.

The square root of 819875712 is about 28633.4718816982. The cubic root of 819875712 is about 935.9428703534.

The spelling of 819875712 in words is "eight hundred nineteen million, eight hundred seventy-five thousand, seven hundred twelve".