77608960 has 192 divisors, whose sum is σ = 222899040. Its totient is φ = 25559040.

The previous prime is 77608957. The next prime is 77608963. The reversal of 77608960 is 6980677.

It is an interprime number because it is at equal distance from previous prime (77608957) and next prime (77608963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77608963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464294 + ... + 1464346.

Almost surely, 2^77608960 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 77608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

77608960 is an abundant number, since it is smaller than the sum of its proper divisors (145290080).

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

77608960 is a wasteful number, since it uses less digits than its factorization.

77608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 77608960 is about 8809.5947693410. The cubic root of 77608960 is about 426.5506629078.

The spelling of 77608960 in words is "seventy-seven million, six hundred eight thousand, nine hundred sixty".