78580880 has 80 divisors (see below), whose sum is σ = 217914624. Its totient is φ = 25766400.

The previous prime is 78580849. The next prime is 78580889. The reversal of 78580880 is 8808587.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (78580889) by changing a digit.

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, 9830 + ... + 15930.

Almost surely, 2^78580880 is an apocalyptic number.

78580880 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 78580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108957312).

78580880 is an abundant number, since it is smaller than the sum of its proper divisors (139333744).

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

78580880 is a wasteful number, since it uses less digits than its factorization.

78580880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 44.

The square root of 78580880 is about 8864.5857207204. The cubic root of 78580880 is about 428.3238879488.

The spelling of 78580880 in words is "seventy-eight million, five hundred eighty thousand, eight hundred eighty".