819778752 has 112 divisors (see below), whose sum is σ = 2595453280. Its totient is φ = 252232704.

The previous prime is 819778669. The next prime is 819778753. The reversal of 819778752 is 257877918.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (819778753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4218 + ... + 40710.

It is an arithmetic number, because the mean of its divisors is an integer number (23173690).

Almost surely, 2^819778752 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 819778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297726640).

819778752 is an abundant number, since it is smaller than the sum of its proper divisors (1775674528).

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

819778752 is a wasteful number, since it uses less digits than its factorization.

819778752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36527 (or 36511 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 54.

The square root of 819778752 is about 28631.7787082815. The cubic root of 819778752 is about 935.9059734608.

The spelling of 819778752 in words is "eight hundred nineteen million, seven hundred seventy-eight thousand, seven hundred fifty-two".