85378960 has 80 divisors (see below), whose sum is σ = 207129600. Its totient is φ = 32693760.

The previous prime is 85378957. The next prime is 85378961. The reversal of 85378960 is 6987358.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 85378960.

It is not an unprimeable number, because it can be changed into a prime (85378961) 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, 428941 + ... + 429139.

It is an arithmetic number, because the mean of its divisors is an integer number (2589120).

Almost surely, 2^85378960 is an apocalyptic number.

85378960 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 85378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103564800).

85378960 is an abundant number, since it is smaller than the sum of its proper divisors (121750640).

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

85378960 is a wasteful number, since it uses less digits than its factorization.

85378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 85378960 is about 9240.0735927805. The cubic root of 85378960 is about 440.3354191707.

The spelling of 85378960 in words is "eighty-five million, three hundred seventy-eight thousand, nine hundred sixty".