1680771600 has 120 divisors (see below), whose sum is σ = 5982340320. Its totient is φ = 448202880.

The previous prime is 1680771557. The next prime is 1680771601. The reversal of 1680771600 is 61770861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1680771601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67014 + ... + 88613.

It is an arithmetic number, because the mean of its divisors is an integer number (49852836).

Almost surely, 2^1680771600 is an apocalyptic number.

1680771600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680771600 is an abundant number, since it is smaller than the sum of its proper divisors (4301568720).

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

1680771600 is a wasteful number, since it uses less digits than its factorization.

1680771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155654 (or 155637 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1680771600 is about 40997.2145395270. The cubic root of 1680771600 is about 1188.9663599261.

The spelling of 1680771600 in words is "one billion, six hundred eighty million, seven hundred seventy-one thousand, six hundred".