676684800 has 528 divisors, whose sum is σ = 2741342400. Its totient is φ = 162201600.

The previous prime is 676684781. The next prime is 676684819. The reversal of 676684800 is 8486676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (676684781) and next prime (676684819).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7603156 + ... + 7603244.

Almost surely, 2^676684800 is an apocalyptic number.

676684800 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 676684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370671200).

676684800 is an abundant number, since it is smaller than the sum of its proper divisors (2064657600).

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

676684800 is a wasteful number, since it uses less digits than its factorization.

676684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 676684800 is about 26013.1658972913. The cubic root of 676684800 is about 877.9345499094.

The spelling of 676684800 in words is "six hundred seventy-six million, six hundred eighty-four thousand, eight hundred".