607680000 has 300 divisors, whose sum is σ = 2201942028. Its totient is φ = 161280000.

The previous prime is 607679981. The next prime is 607680001. The reversal of 607680000 is 86706.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607680001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879895 + ... + 2880105.

Almost surely, 2^607680000 is an apocalyptic number.

607680000 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 607680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100971014).

607680000 is an abundant number, since it is smaller than the sum of its proper divisors (1594262028).

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

607680000 is an equidigital number, since it uses as much as digits as its factorization.

607680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 607680000 is about 24651.1663010090. The cubic root of 607680000 is about 847.0160653798.

The spelling of 607680000 in words is "six hundred seven million, six hundred eighty thousand".