680707440 has 240 divisors, whose sum is σ = 2635117056. Its totient is φ = 154252800.

The previous prime is 680707429. The next prime is 680707477. The reversal of 680707440 is 44707086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 680707395 and 680707404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659725 + ... + 660755.

Almost surely, 2^680707440 is an apocalyptic number.

680707440 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 680707440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317558528).

680707440 is an abundant number, since it is smaller than the sum of its proper divisors (1954409616).

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

680707440 is a wasteful number, since it uses less digits than its factorization.

680707440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 680707440 is about 26090.3706374593. The cubic root of 680707440 is about 879.6707790528.

The spelling of 680707440 in words is "six hundred eighty million, seven hundred seven thousand, four hundred forty".