77541680 has 20 divisors (see below), whose sum is σ = 180284592. Its totient is φ = 31016640.

The previous prime is 77541647. The next prime is 77541689. The reversal of 77541680 is 8614577.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (77541689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 484556 + ... + 484715.

Almost surely, 2^77541680 is an apocalyptic number.

It is an amenable number.

77541680 is an abundant number, since it is smaller than the sum of its proper divisors (102742912).

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

77541680 is a wasteful number, since it uses less digits than its factorization.

77541680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969284 (or 969278 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 77541680 is about 8805.7753775576. The cubic root of 77541680 is about 426.4273668968.

The spelling of 77541680 in words is "seventy-seven million, five hundred forty-one thousand, six hundred eighty".