667810080 has 288 divisors, whose sum is σ = 2635161984. Its totient is φ = 150847488.

The previous prime is 667810063. The next prime is 667810093. The reversal of 667810080 is 80018766.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977419 + ... + 978101.

It is an arithmetic number, because the mean of its divisors is an integer number (9149868).

Almost surely, 2^667810080 is an apocalyptic number.

667810080 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 667810080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317580992).

667810080 is an abundant number, since it is smaller than the sum of its proper divisors (1967351904).

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

667810080 is a wasteful number, since it uses less digits than its factorization.

667810080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 667810080 is about 25842.0215927470. The cubic root of 667810080 is about 874.0796112551.

The spelling of 667810080 in words is "six hundred sixty-seven million, eight hundred ten thousand, eighty".