680772060 has 96 divisors (see below), whose sum is σ = 2132424000. Its totient is φ = 180299520.

The previous prime is 680772049. The next prime is 680772061. The reversal of 680772060 is 60277086.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680772061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76230 + ... + 84690.

It is an arithmetic number, because the mean of its divisors is an integer number (22212750).

Almost surely, 2^680772060 is an apocalyptic number.

680772060 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 680772060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066212000).

680772060 is an abundant number, since it is smaller than the sum of its proper divisors (1451651940).

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

680772060 is a wasteful number, since it uses less digits than its factorization.

680772060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8628 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 680772060 is about 26091.6089959972. The cubic root of 680772060 is about 879.6986140784.

The spelling of 680772060 in words is "six hundred eighty million, seven hundred seventy-two thousand, sixty".