680749920 has 144 divisors (see below), whose sum is σ = 2409235920. Its totient is φ = 181522944.

The previous prime is 680749913. The next prime is 680749931. The reversal of 680749920 is 29947086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30126 + ... + 47634.

It is an arithmetic number, because the mean of its divisors is an integer number (16730805).

Almost surely, 2^680749920 is an apocalyptic number.

680749920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204617960).

680749920 is an abundant number, since it is smaller than the sum of its proper divisors (1728486000).

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

680749920 is a wasteful number, since it uses less digits than its factorization.

680749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17539 (or 17519 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 680749920 is about 26091.1847182147. The cubic root of 680749920 is about 879.6890774853.

The spelling of 680749920 in words is "six hundred eighty million, seven hundred forty-nine thousand, nine hundred twenty".