680295000 has 640 divisors, whose sum is σ = 2879078400. Its totient is φ = 129600000.

The previous prime is 680294947. The next prime is 680295013. The reversal of 680295000 is 592086.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 159 ways as a sum of consecutive naturals, for example, 21944985 + ... + 21945015.

It is an arithmetic number, because the mean of its divisors is an integer number (4498560).

Almost surely, 2^680295000 is an apocalyptic number.

680295000 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 680295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439539200).

680295000 is an abundant number, since it is smaller than the sum of its proper divisors (2198783400).

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

680295000 is a wasteful number, since it uses less digits than its factorization.

680295000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 680295000 is about 26082.4653742701. The cubic root of 680295000 is about 879.4930792584.

The spelling of 680295000 in words is "six hundred eighty million, two hundred ninety-five thousand".