66760785 has 144 divisors (see below), whose sum is σ = 154614096. Its totient is φ = 26320896.

The previous prime is 66760783. The next prime is 66760807. The reversal of 66760785 is 58706766.

It can be written as a sum of positive squares in 8 ways, for example, as 370881 + 66389904 = 609^2 + 8148^2 .

It is not a de Polignac number, because 66760785 - 2¹ = 66760783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66760785.

It is not an unprimeable number, because it can be changed into a prime (66760783) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 487237 + ... + 487373.

It is an arithmetic number, because the mean of its divisors is an integer number (1073709).

Almost surely, 2^66760785 is an apocalyptic number.

66760785 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66760785 is an abundant number, since it is smaller than the sum of its proper divisors (87853311).

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

66760785 is a wasteful number, since it uses less digits than its factorization.

66760785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 66760785 is about 8170.7273238066. The cubic root of 66760785 is about 405.6708588840.

The spelling of 66760785 in words is "sixty-six million, seven hundred sixty thousand, seven hundred eighty-five".