676606800 has 180 divisors, whose sum is σ = 2303570816. Its totient is φ = 169728000.

The previous prime is 676606793. The next prime is 676606807. The reversal of 676606800 is 8606676.

It is an interprime number because it is at equal distance from previous prime (676606793) and next prime (676606807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676606807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345825 + ... + 347775.

Almost surely, 2^676606800 is an apocalyptic number.

676606800 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 676606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151785408).

676606800 is an abundant number, since it is smaller than the sum of its proper divisors (1626964016).

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

676606800 is a wasteful number, since it uses less digits than its factorization.

676606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 676606800 is about 26011.6666132718. Note that the first 4 decimals coincide. The cubic root of 676606800 is about 877.9008160714.

The spelling of 676606800 in words is "six hundred seventy-six million, six hundred six thousand, eight hundred".