681760080 has 120 divisors (see below), whose sum is σ = 2299663080. Its totient is φ = 181002240.

The previous prime is 681760069. The next prime is 681760103. The reversal of 681760080 is 80067186.

It can be written as a sum of positive squares in 4 ways, for example, as 43086096 + 638673984 = 6564^2 + 25272^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171556 + ... + 175484.

It is an arithmetic number, because the mean of its divisors is an integer number (19163859).

Almost surely, 2^681760080 is an apocalyptic number.

681760080 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 681760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149831540).

681760080 is an abundant number, since it is smaller than the sum of its proper divisors (1617903000).

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

681760080 is a wasteful number, since it uses less digits than its factorization.

681760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 681760080 is about 26110.5358045368. The cubic root of 681760080 is about 880.1239839084.

It can be divided in two parts, 681 and 760080, that added together give a triangular number (760761 = T₁₂₃₃).

The spelling of 681760080 in words is "six hundred eighty-one million, seven hundred sixty thousand, eighty".