207768064 has 80 divisors (see below), whose sum is σ = 491040000. Its totient is φ = 85929984.

The previous prime is 207768053. The next prime is 207768073. The reversal of 207768064 is 460867702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102937 + ... + 104935.

It is an arithmetic number, because the mean of its divisors is an integer number (6138000).

Almost surely, 2^207768064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520000).

207768064 is an abundant number, since it is smaller than the sum of its proper divisors (283271936).

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

207768064 is an equidigital number, since it uses as much as digits as its factorization.

207768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 207768064 is about 14414.1619249958. The cubic root of 207768064 is about 592.2789043739.

The spelling of 207768064 in words is "two hundred seven million, seven hundred sixty-eight thousand, sixty-four".