2007676000 has 192 divisors, whose sum is σ = 5445812736. Its totient is φ = 721344000.

The previous prime is 2007675997. The next prime is 2007676007. The reversal of 2007676000 is 6767002.

It is a self number, because there is not a number n which added to its sum of digits gives 2007676000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007676007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4531779 + ... + 4532221.

It is an arithmetic number, because the mean of its divisors is an integer number (28363608).

Almost surely, 2^2007676000 is an apocalyptic number.

2007676000 is a gapful number since it is divisible by the number (20) 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 2007676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722906368).

2007676000 is an abundant number, since it is smaller than the sum of its proper divisors (3438136736).

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

2007676000 is a wasteful number, since it uses less digits than its factorization.

2007676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 2007676000 is about 44807.0976520462. The cubic root of 2007676000 is about 1261.5308511721.

The spelling of 2007676000 in words is "two billion, seven million, six hundred seventy-six thousand".