819075840 has 144 divisors (see below), whose sum is σ = 2853881856. Its totient is φ = 198553600.

The previous prime is 819075821. The next prime is 819075847. The reversal of 819075840 is 48570918.

It is a junction number, because it is equal to n+sod(n) for n = 819075792 and 819075801.

It is not an unprimeable number, because it can be changed into a prime (819075847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32545 + ... + 51935.

It is an arithmetic number, because the mean of its divisors is an integer number (19818624).

Almost surely, 2^819075840 is an apocalyptic number.

819075840 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 819075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426940928).

819075840 is an abundant number, since it is smaller than the sum of its proper divisors (2034806016).

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

819075840 is a wasteful number, since it uses less digits than its factorization.

819075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19426 (or 19412 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 819075840 is about 28619.5010438687. The cubic root of 819075840 is about 935.6384022196.

The spelling of 819075840 in words is "eight hundred nineteen million, seventy-five thousand, eight hundred forty".