819416080 has 40 divisors (see below), whose sum is σ = 2177307072. Its totient is φ = 280942464.

The previous prime is 819416077. The next prime is 819416107. The reversal of 819416080 is 80614918.

It is a happy number.

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

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731062 + ... + 732181.

Almost surely, 2^819416080 is an apocalyptic number.

819416080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

819416080 is an abundant number, since it is smaller than the sum of its proper divisors (1357890992).

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

819416080 is a wasteful number, since it uses less digits than its factorization.

819416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463263 (or 1463257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 819416080 is about 28625.4446253678. Note that the first 3 decimals coincide. The cubic root of 819416080 is about 935.7679374533.

The spelling of 819416080 in words is "eight hundred nineteen million, four hundred sixteen thousand, eighty".