85178880 has 120 divisors (see below), whose sum is σ = 295078212. Its totient is φ = 22708224.

The previous prime is 85178869. The next prime is 85178903. The reversal of 85178880 is 8887158.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 8020224 = 8784^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21192 + ... + 24888.

Almost surely, 2^85178880 is an apocalyptic number.

85178880 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 85178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147539106).

85178880 is an abundant number, since it is smaller than the sum of its proper divisors (209899332).

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

85178880 is a wasteful number, since it uses less digits than its factorization.

85178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 85178880 is about 9229.2404887943. The cubic root of 85178880 is about 439.9911843964.

The spelling of 85178880 in words is "eighty-five million, one hundred seventy-eight thousand, eight hundred eighty".