1680008080 has 40 divisors (see below), whose sum is σ = 3927873600. Its totient is φ = 668243328.

The previous prime is 1680008069. The next prime is 1680008107. The reversal of 1680008080 is 808000861.

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

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, 44340 + ... + 72979.

It is an arithmetic number, because the mean of its divisors is an integer number (98196840).

Almost surely, 2^1680008080 is an apocalyptic number.

1680008080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680008080 is an abundant number, since it is smaller than the sum of its proper divisors (2247865520).

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

1680008080 is a wasteful number, since it uses less digits than its factorization.

1680008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117511 (or 117505 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 1680008080 is about 40987.9016296272. The cubic root of 1680008080 is about 1188.7862963785.

The spelling of 1680008080 in words is "one billion, six hundred eighty million, eight thousand, eighty".