672850800 has 300 divisors, whose sum is σ = 2544228280. Its totient is φ = 169827840.

The previous prime is 672850747. The next prime is 672850811. The reversal of 672850800 is 8058276.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 615054 + ... + 616146.

Almost surely, 2^672850800 is an apocalyptic number.

672850800 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 672850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272114140).

672850800 is an abundant number, since it is smaller than the sum of its proper divisors (1871377480).

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

672850800 is a wasteful number, since it uses less digits than its factorization.

672850800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 672850800 is about 25939.3677640763. The cubic root of 672850800 is about 876.2733243554.

The spelling of 672850800 in words is "six hundred seventy-two million, eight hundred fifty thousand, eight hundred".