77646960 has 60 divisors (see below), whose sum is σ = 260766792. Its totient is φ = 20705664.

The previous prime is 77646953. The next prime is 77646997. The reversal of 77646960 is 6964677.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53202 + ... + 54641.

Almost surely, 2^77646960 is an apocalyptic number.

It is an amenable number.

77646960 is an abundant number, since it is smaller than the sum of its proper divisors (183119832).

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

77646960 is a wasteful number, since it uses less digits than its factorization.

77646960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107862 (or 107853 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 77646960 is about 8811.7512447867. The cubic root of 77646960 is about 426.6202694774.

It can be divided in two parts, 77646 and 960, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 77646960 in words is "seventy-seven million, six hundred forty-six thousand, nine hundred sixty".