87778176 has 128 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 27076608.

The previous prime is 87778169. The next prime is 87778177. The reversal of 87778176 is 67187778.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87778177) 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, 386575 + ... + 386801.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2^87778176 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 87778176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582400).

87778176 is an abundant number, since it is smaller than the sum of its proper divisors (163386624).

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

87778176 is a wasteful number, since it uses less digits than its factorization.

87778176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its digits is 921984, while the sum is 51.

The square root of 87778176 is about 9369.0008005123. Note that the first 3 decimals coincide. The cubic root of 87778176 is about 444.4219671596.

The spelling of 87778176 in words is "eighty-seven million, seven hundred seventy-eight thousand, one hundred seventy-six".