819609792 has 112 divisors (see below), whose sum is σ = 2249070432. Its totient is φ = 263208960.

The previous prime is 819609743. The next prime is 819609823. The reversal of 819609792 is 297906918.

It is a happy number.

It is a super-2 number, since 2×819609792² = 1343520422284566528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802242 + ... + 803262.

It is an arithmetic number, because the mean of its divisors is an integer number (20080986).

Almost surely, 2^819609792 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 819609792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124535216).

819609792 is an abundant number, since it is smaller than the sum of its proper divisors (1429460640).

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

819609792 is a wasteful number, since it uses less digits than its factorization.

819609792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 819609792 is about 28628.8279885852. The cubic root of 819609792 is about 935.8416709329.

The spelling of 819609792 in words is "eight hundred nineteen million, six hundred nine thousand, seven hundred ninety-two".