78288090 has 64 divisors (see below), whose sum is σ = 198567936. Its totient is φ = 19714112.

The previous prime is 78288083. The next prime is 78288101. The reversal of 78288090 is 9088287.

It is a happy number.

It is a super-2 number, since 2×78288090² = 12258050071696200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56587 + ... + 57953.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2^78288090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78288090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

78288090 is an abundant number, since it is smaller than the sum of its proper divisors (120279846).

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

78288090 is a wasteful number, since it uses less digits than its factorization.

78288090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483.

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 78288090 is about 8848.0557186311. The cubic root of 78288090 is about 427.7912518885.

The spelling of 78288090 in words is "seventy-eight million, two hundred eighty-eight thousand, ninety".