77566560 has 96 divisors (see below), whose sum is σ = 249026400. Its totient is φ = 20287488.

The previous prime is 77566553. The next prime is 77566589. The reversal of 77566560 is 6566577.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23916 + ... + 26964.

It is an arithmetic number, because the mean of its divisors is an integer number (2594025).

Almost surely, 2^77566560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124513200).

77566560 is an abundant number, since it is smaller than the sum of its proper divisors (171459840).

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

77566560 is a wasteful number, since it uses less digits than its factorization.

77566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 77566560 is about 8807.1879734680. The cubic root of 77566560 is about 426.4729698051.

The spelling of 77566560 in words is "seventy-seven million, five hundred sixty-six thousand, five hundred sixty".