77456560 has 40 divisors (see below), whose sum is σ = 180452736. Its totient is φ = 30919680.

The previous prime is 77456543. The next prime is 77456563. The reversal of 77456560 is 6565477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (77456563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77665 + ... + 78655.

Almost surely, 2^77456560 is an apocalyptic number.

It is an amenable number.

77456560 is an abundant number, since it is smaller than the sum of its proper divisors (102996176).

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

77456560 is a wasteful number, since it uses less digits than its factorization.

77456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 77456560 is about 8800.9408587946. The cubic root of 77456560 is about 426.2712754149.

The spelling of 77456560 in words is "seventy-seven million, four hundred fifty-six thousand, five hundred sixty".