680752512 has 320 divisors, whose sum is σ = 2274877440. Its totient is φ = 200309760.

The previous prime is 680752489. The next prime is 680752517. The reversal of 680752512 is 215257086.

It is a happy number.

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 (680752517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5360193 + ... + 5360319.

It is an arithmetic number, because the mean of its divisors is an integer number (7108992).

Almost surely, 2^680752512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680752512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137438720).

680752512 is an abundant number, since it is smaller than the sum of its proper divisors (1594124928).

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

680752512 is a wasteful number, since it uses less digits than its factorization.

680752512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 680752512 is about 26091.2343901165. The cubic root of 680752512 is about 879.6901939752.

It can be divided in two parts, 6807 and 52512, that added together give a cube (59319 = 39³).

The spelling of 680752512 in words is "six hundred eighty million, seven hundred fifty-two thousand, five hundred twelve".