78480720 has 60 divisors (see below), whose sum is σ = 263566836. Its totient is φ = 20928000.

The previous prime is 78480713. The next prime is 78480749. The reversal of 78480720 is 2708487.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 48274704 = 5496^2 + 6948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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 11 ways as a sum of consecutive naturals, for example, 53781 + ... + 55220.

Almost surely, 2^78480720 is an apocalyptic number.

It is an amenable number.

78480720 is an abundant number, since it is smaller than the sum of its proper divisors (185086116).

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

78480720 is a wasteful number, since it uses less digits than its factorization.

78480720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109020 (or 109011 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78480720 is about 8858.9344731745. The cubic root of 78480720 is about 428.1418285604.

The spelling of 78480720 in words is "seventy-eight million, four hundred eighty thousand, seven hundred twenty".