673012800 has 294 divisors, whose sum is σ = 2487215498. Its totient is φ = 179159040.

The previous prime is 673012799. The next prime is 673012801. The reversal of 673012800 is 8210376.

It is an interprime number because it is at equal distance from previous prime (673012799) and next prime (673012801).

It can be written as a sum of positive squares in 3 ways, for example, as 215737344 + 457275456 = 14688^2 + 21384^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (673012801) 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 41 ways as a sum of consecutive naturals, for example, 1166112 + ... + 1166688.

Almost surely, 2^673012800 is an apocalyptic number.

673012800 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 673012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243607749).

673012800 is an abundant number, since it is smaller than the sum of its proper divisors (1814202698).

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

673012800 is an equidigital number, since it uses as much as digits as its factorization.

673012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 673012800 is about 25942.4902428429. The cubic root of 673012800 is about 876.3436444954.

The spelling of 673012800 in words is "six hundred seventy-three million, twelve thousand, eight hundred".