77877888 has 128 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 23239680.

The previous prime is 77877887. The next prime is 77877893. The reversal of 77877888 is 88877877.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (77877881) 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, 434983 + ... + 435161.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^77877888 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 77877888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

77877888 is an abundant number, since it is smaller than the sum of its proper divisors (151254912).

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

77877888 is a wasteful number, since it uses less digits than its factorization.

77877888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its digits is 9834496, while the sum is 60.

The square root of 77877888 is about 8824.8449278160. The cubic root of 77877888 is about 427.0427846640.

The spelling of 77877888 in words is "seventy-seven million, eight hundred seventy-seven thousand, eight hundred eighty-eight".