819875840 has 312 divisors, whose sum is σ = 2465163360. Its totient is φ = 260112384.

The previous prime is 819875831. The next prime is 819875843. The reversal of 819875840 is 48578918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819875843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19066859 + ... + 19066901.

Almost surely, 2^819875840 is an apocalyptic number.

819875840 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 819875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232581680).

819875840 is an abundant number, since it is smaller than the sum of its proper divisors (1645287520).

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

819875840 is a wasteful number, since it uses less digits than its factorization.

819875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 50.

The square root of 819875840 is about 28633.4741168444. The cubic root of 819875840 is about 935.9429190603.

The spelling of 819875840 in words is "eight hundred nineteen million, eight hundred seventy-five thousand, eight hundred forty".