672771600 has 180 divisors, whose sum is σ = 2472264756. Its totient is φ = 168837120.

The previous prime is 672771587. The next prime is 672771607. The reversal of 672771600 is 6177276.

It can be written as a sum of positive squares in 6 ways, for example, as 20684304 + 652087296 = 4548^2 + 25536^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×672771600⁴ (a number of 36 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (672771607) 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, 55704 + ... + 66696.

Almost surely, 2^672771600 is an apocalyptic number.

672771600 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 672771600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236132378).

672771600 is an abundant number, since it is smaller than the sum of its proper divisors (1799493156).

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

672771600 is a wasteful number, since it uses less digits than its factorization.

672771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11034 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 672771600 is about 25937.8410820947. The cubic root of 672771600 is about 876.2389415123.

The spelling of 672771600 in words is "six hundred seventy-two million, seven hundred seventy-one thousand, six hundred".