78506496 has 120 divisors (see below), whose sum is σ = 235339104. Its totient is φ = 26127360.

The previous prime is 78506471. The next prime is 78506501. The reversal of 78506496 is 69460587.

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, 124101 + ... + 124731.

Almost surely, 2^78506496 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 78506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117669552).

78506496 is an abundant number, since it is smaller than the sum of its proper divisors (156832608).

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

78506496 is an frugal number, since it uses more digits than its factorization.

78506496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 78506496 is about 8860.3891562391. The cubic root of 78506496 is about 428.1886960196.

The spelling of 78506496 in words is "seventy-eight million, five hundred six thousand, four hundred ninety-six".