78006720 has 224 divisors, whose sum is σ = 276514560. Its totient is φ = 18472960.

The previous prime is 78006707. The next prime is 78006737. The reversal of 78006720 is 2760087.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876436 + ... + 876524.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^78006720 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 78006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

78006720 is an abundant number, since it is smaller than the sum of its proper divisors (198507840).

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

78006720 is a wasteful number, since it uses less digits than its factorization.

78006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 78006720 is about 8832.1413032175. The cubic root of 78006720 is about 427.2781380167.

It can be divided in two parts, 780067 and 20, that added together give a palindrome (780087).

The spelling of 78006720 in words is "seventy-eight million, six thousand, seven hundred twenty".