77668560 has 60 divisors (see below), whose sum is σ = 260839332. Its totient is φ = 20711424.

The previous prime is 77668553. The next prime is 77668567. The reversal of 77668560 is 6586677.

It is an interprime number because it is at equal distance from previous prime (77668553) and next prime (77668567).

It can be written as a sum of positive squares in 2 ways, for example, as 58798224 + 18870336 = 7668^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77668567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53217 + ... + 54656.

Almost surely, 2^77668560 is an apocalyptic number.

It is an amenable number.

77668560 is an abundant number, since it is smaller than the sum of its proper divisors (183170772).

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

77668560 is a wasteful number, since it uses less digits than its factorization.

77668560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107892 (or 107883 counting only the distinct ones).

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

The square root of 77668560 is about 8812.9767956123. The cubic root of 77668560 is about 426.6598251941.

The spelling of 77668560 in words is "seventy-seven million, six hundred sixty-eight thousand, five hundred sixty".