78089760 has 288 divisors, whose sum is σ = 311980032. Its totient is φ = 17418240.

The previous prime is 78089747. The next prime is 78089771. The reversal of 78089760 is 6798087.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 614817 + ... + 614943.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^78089760 is an apocalyptic number.

78089760 is a gapful number since it is divisible by the number (70) 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 78089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

78089760 is an abundant number, since it is smaller than the sum of its proper divisors (233890272).

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

78089760 is a wasteful number, since it uses less digits than its factorization.

78089760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 78089760 is about 8836.8410645434. The cubic root of 78089760 is about 427.4297001464.

The spelling of 78089760 in words is "seventy-eight million, eighty-nine thousand, seven hundred sixty".