78688080 has 120 divisors (see below), whose sum is σ = 265873608. Its totient is φ = 20855808.

The previous prime is 78688073. The next prime is 78688097. The reversal of 78688080 is 8088687.

It can be written as a sum of positive squares in 4 ways, for example, as 26501904 + 52186176 = 5148^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210774 + ... + 211146.

Almost surely, 2^78688080 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 78688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132936804).

78688080 is an abundant number, since it is smaller than the sum of its proper divisors (187185528).

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

78688080 is a wasteful number, since it uses less digits than its factorization.

78688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 78688080 is about 8870.6301918184. The cubic root of 78688080 is about 428.5185725291.

The spelling of 78688080 in words is "seventy-eight million, six hundred eighty-eight thousand, eighty".