85378080 has 96 divisors (see below), whose sum is σ = 284788224. Its totient is φ = 21426176.

The previous prime is 85378079. The next prime is 85378081. The reversal of 85378080 is 8087358.

It is an interprime number because it is at equal distance from previous prime (85378079) and next prime (85378081).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85378081) 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, 2929 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (2966544).

Almost surely, 2^85378080 is an apocalyptic number.

85378080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142394112).

85378080 is an abundant number, since it is smaller than the sum of its proper divisors (199410144).

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

85378080 is a wasteful number, since it uses less digits than its factorization.

85378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10498 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 85378080 is about 9240.0259739895. The cubic root of 85378080 is about 440.3339063214. Note that the first 3 decimals are identical.

The spelling of 85378080 in words is "eighty-five million, three hundred seventy-eight thousand, eighty".