87778160 has 40 divisors (see below), whose sum is σ = 204476496. Its totient is φ = 35043840.

The previous prime is 87778151. The next prime is 87778169. The reversal of 87778160 is 6187778.

It is a Cunningham number, because it is equal to 9369²-1.

It is an interprime number because it is at equal distance from previous prime (87778151) and next prime (87778169).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87778169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74375 + ... + 75545.

Almost surely, 2^87778160 is an apocalyptic number.

87778160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87778160 is an abundant number, since it is smaller than the sum of its proper divisors (116698336).

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

87778160 is a wasteful number, since it uses less digits than its factorization.

87778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 44.

The square root of 87778160 is about 9368.9999466325. Note that the first 4 decimals coincide. The cubic root of 87778160 is about 444.4219401568.

The spelling of 87778160 in words is "eighty-seven million, seven hundred seventy-eight thousand, one hundred sixty".