1680880800 has 72 divisors (see below), whose sum is σ = 5471274816. Its totient is φ = 448234240.

The previous prime is 1680880759. The next prime is 1680880823. The reversal of 1680880800 is 80880861.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347784 + ... + 352583.

It is an arithmetic number, because the mean of its divisors is an integer number (75989928).

Almost surely, 2^1680880800 is an apocalyptic number.

1680880800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680880800 is an abundant number, since it is smaller than the sum of its proper divisors (3790394016).

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

1680880800 is a wasteful number, since it uses less digits than its factorization.

1680880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700390 (or 700377 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 1680880800 is about 40998.5463156927. The cubic root of 1680880800 is about 1188.9921084801.

The spelling of 1680880800 in words is "one billion, six hundred eighty million, eight hundred eighty thousand, eight hundred".