78606720 has 128 divisors (see below), whose sum is σ = 278460000. Its totient is φ = 20957184.

The previous prime is 78606707. The next prime is 78606721. The reversal of 78606720 is 2760687.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78606721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15006 + ... + 19554.

Almost surely, 2^78606720 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 78606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139230000).

78606720 is an abundant number, since it is smaller than the sum of its proper divisors (199853280).

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

78606720 is a wasteful number, since it uses less digits than its factorization.

78606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4559 counting only the distinct ones).

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

The square root of 78606720 is about 8866.0430858416. The cubic root of 78606720 is about 428.3708318378.

The spelling of 78606720 in words is "seventy-eight million, six hundred six thousand, seven hundred twenty".