819130752 has 256 divisors, whose sum is σ = 2731968000. Its totient is φ = 239339520.

The previous prime is 819130751. The next prime is 819130777. The reversal of 819130752 is 257031918.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819130751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102093 + ... + 1102835.

It is an arithmetic number, because the mean of its divisors is an integer number (10671750).

Almost surely, 2^819130752 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 819130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

819130752 is an abundant number, since it is smaller than the sum of its proper divisors (1912837248).

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

819130752 is a wasteful number, since it uses less digits than its factorization.

819130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 819130752 is about 28620.4603736558. The cubic root of 819130752 is about 935.6593105919.

The spelling of 819130752 in words is "eight hundred nineteen million, one hundred thirty thousand, seven hundred fifty-two".