680378400 has 288 divisors, whose sum is σ = 2651080320. Its totient is φ = 167408640.

The previous prime is 680378393. The next prime is 680378441. The reversal of 680378400 is 4873086.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 279589 + ... + 282011.

It is an arithmetic number, because the mean of its divisors is an integer number (9205140).

Almost surely, 2^680378400 is an apocalyptic number.

680378400 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 680378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325540160).

680378400 is an abundant number, since it is smaller than the sum of its proper divisors (1970701920).

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

680378400 is a wasteful number, since it uses less digits than its factorization.

680378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 680378400 is about 26084.0641005193. The cubic root of 680378400 is about 879.5290179446.

The spelling of 680378400 in words is "six hundred eighty million, three hundred seventy-eight thousand, four hundred".