78648480 has 72 divisors (see below), whose sum is σ = 268392852. Its totient is φ = 20972544.

The previous prime is 78648469. The next prime is 78648481. The reversal of 78648480 is 8484687.

It can be written as a sum of positive squares in 2 ways, for example, as 78641424 + 7056 = 8868^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78648481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25869 + ... + 28748.

Almost surely, 2^78648480 is an apocalyptic number.

It is an amenable number.

78648480 is an abundant number, since it is smaller than the sum of its proper divisors (189744372).

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

78648480 is a wasteful number, since it uses less digits than its factorization.

78648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54638 (or 54627 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 78648480 is about 8868.3978259886. The cubic root of 78648480 is about 428.4466760704.

The spelling of 78648480 in words is "seventy-eight million, six hundred forty-eight thousand, four hundred eighty".