78558464 has 72 divisors (see below), whose sum is σ = 170714880. Its totient is φ = 35942400.

The previous prime is 78558461. The next prime is 78558503. The reversal of 78558464 is 46485587.

78558464 = 98² + 99² + ... + 618².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78558461) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 150524 + ... + 151044.

It is an arithmetic number, because the mean of its divisors is an integer number (2371040).

Almost surely, 2^78558464 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 78558464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85357440).

78558464 is an abundant number, since it is smaller than the sum of its proper divisors (92156416).

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

78558464 is a wasteful number, since it uses less digits than its factorization.

78558464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 47.

The square root of 78558464 is about 8863.3212736536. The cubic root of 78558464 is about 428.2831561518.

The spelling of 78558464 in words is "seventy-eight million, five hundred fifty-eight thousand, four hundred sixty-four".