672786000 has 200 divisors, whose sum is σ = 2430738024. Its totient is φ = 179366400.

The previous prime is 672785987. The next prime is 672786007. The reversal of 672786000 is 687276.

It can be written as a sum of positive squares in 4 ways, for example, as 184199184 + 488586816 = 13572^2 + 22104^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672786007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159924 + ... + 164076.

Almost surely, 2^672786000 is an apocalyptic number.

672786000 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 672786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215369012).

672786000 is an abundant number, since it is smaller than the sum of its proper divisors (1757952024).

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

672786000 is a wasteful number, since it uses less digits than its factorization.

672786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 672786000 is about 25938.1186673205. The cubic root of 672786000 is about 876.2451931390.

The spelling of 672786000 in words is "six hundred seventy-two million, seven hundred eighty-six thousand".