819284080 has 40 divisors (see below), whose sum is σ = 1912471344. Its totient is φ = 326400000.

The previous prime is 819284069. The next prime is 819284083. The reversal of 819284080 is 80482918.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819284083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 40480.

Almost surely, 2^819284080 is an apocalyptic number.

819284080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

819284080 is an abundant number, since it is smaller than the sum of its proper divisors (1093187264).

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

819284080 is a wasteful number, since it uses less digits than its factorization.

819284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41065 (or 41059 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 819284080 is about 28623.1388914633. The cubic root of 819284080 is about 935.7176870355.

The spelling of 819284080 in words is "eight hundred nineteen million, two hundred eighty-four thousand, eighty".