78800288 has 96 divisors (see below), whose sum is σ = 184988160. Its totient is φ = 32348160.

The previous prime is 78800263. The next prime is 78800291. The reversal of 78800288 is 88200887.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997433 + ... + 997511.

It is an arithmetic number, because the mean of its divisors is an integer number (1926960).

Almost surely, 2^78800288 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 78800288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

78800288 is an abundant number, since it is smaller than the sum of its proper divisors (106187872).

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

78800288 is a wasteful number, since it uses less digits than its factorization.

78800288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The square root of 78800288 is about 8876.9526302668. The cubic root of 78800288 is about 428.7221627669.

The spelling of 78800288 in words is "seventy-eight million, eight hundred thousand, two hundred eighty-eight".