78030720 has 384 divisors, whose sum is σ = 305510400. Its totient is φ = 18247680.

The previous prime is 78030703. The next prime is 78030761. The reversal of 78030720 is 2703087.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2517105 + ... + 2517135.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^78030720 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 78030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

78030720 is an abundant number, since it is smaller than the sum of its proper divisors (227479680).

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

78030720 is a wasteful number, since it uses less digits than its factorization.

78030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 78030720 is about 8833.4998726439. The cubic root of 78030720 is about 427.3219531471.

The spelling of 78030720 in words is "seventy-eight million, thirty thousand, seven hundred twenty".