78660720 has 200 divisors, whose sum is σ = 279074400. Its totient is φ = 20528640.

The previous prime is 78660709. The next prime is 78660737. The reversal of 78660720 is 2706687.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 395181 + ... + 395379.

It is an arithmetic number, because the mean of its divisors is an integer number (1395372).

Almost surely, 2^78660720 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 78660720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139537200).

78660720 is an abundant number, since it is smaller than the sum of its proper divisors (200413680).

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

78660720 is a wasteful number, since it uses less digits than its factorization.

78660720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 78660720 is about 8869.0878899693. The cubic root of 78660720 is about 428.4689011886.

The spelling of 78660720 in words is "seventy-eight million, six hundred sixty thousand, seven hundred twenty".