77578880 has 64 divisors (see below), whose sum is σ = 189842400. Its totient is φ = 30299136.

The previous prime is 77578873. The next prime is 77578889. The reversal of 77578880 is 8887577.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (77578889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26111 + ... + 28929.

Almost surely, 2^77578880 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 77578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94921200).

77578880 is an abundant number, since it is smaller than the sum of its proper divisors (112263520).

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

77578880 is a wasteful number, since it uses less digits than its factorization.

77578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 50.

The square root of 77578880 is about 8807.8873743935. The cubic root of 77578880 is about 426.4955476996.

The spelling of 77578880 in words is "seventy-seven million, five hundred seventy-eight thousand, eight hundred eighty".