819268080 has 160 divisors (see below), whose sum is σ = 2714451264. Its totient is φ = 203685888.

The previous prime is 819268069. The next prime is 819268129. The reversal of 819268080 is 80862918.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 460152 + ... + 461928.

Almost surely, 2^819268080 is an apocalyptic number.

819268080 is a gapful number since it is divisible by the number (80) 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 819268080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357225632).

819268080 is an abundant number, since it is smaller than the sum of its proper divisors (1895183184).

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

819268080 is a wasteful number, since it uses less digits than its factorization.

819268080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 819268080 is about 28622.8593959444. The cubic root of 819268080 is about 935.7115957090.

The spelling of 819268080 in words is "eight hundred nineteen million, two hundred sixty-eight thousand, eighty".