78185088 has 80 divisors (see below), whose sum is σ = 232708410. Its totient is φ = 26058240.

The previous prime is 78185083. The next prime is 78185099. The reversal of 78185088 is 88058187.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 2286144 = 8712^2 + 1512^2 .

It is a super-2 number, since 2×78185088² = 12225815971135488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78185083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6598 + ... + 14138.

Almost surely, 2^78185088 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 78185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116354205).

78185088 is an abundant number, since it is smaller than the sum of its proper divisors (154523322).

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

78185088 is an equidigital number, since it uses as much as digits as its factorization.

78185088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7546 counting only the distinct ones).

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

The square root of 78185088 is about 8842.2332020819. The cubic root of 78185088 is about 427.6035575530.

The spelling of 78185088 in words is "seventy-eight million, one hundred eighty-five thousand, eighty-eight".