680126778900 has 360 divisors, whose sum is σ = 2228448604536. Its totient is φ = 179424460800.

The previous prime is 680126778899. The next prime is 680126778901. The reversal of 680126778900 is 9877621086.

680126778900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (680126778899) and next prime (680126778901).

It can be written as a sum of positive squares in 12 ways, for example, as 89906424336 + 590220354564 = 299844^2 + 768258^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680126778901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 326825860 + ... + 326827940.

Almost surely, 2^680126778900 is an apocalyptic number.

680126778900 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 680126778900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114224302268).

680126778900 is an abundant number, since it is smaller than the sum of its proper divisors (1548321825636).

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

680126778900 is a wasteful number, since it uses less digits than its factorization.

680126778900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 680126778900 in words is "six hundred eighty billion, one hundred twenty-six million, seven hundred seventy-eight thousand, nine hundred".