78434976 has 48 divisors (see below), whose sum is σ = 208039104. Its totient is φ = 25872384.

The previous prime is 78434969. The next prime is 78434981. The reversal of 78434976 is 67943487.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 5101 + ... + 13523.

It is an arithmetic number, because the mean of its divisors is an integer number (4334148).

Almost surely, 2^78434976 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 78434976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

78434976 is an abundant number, since it is smaller than the sum of its proper divisors (129604128).

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

78434976 is a wasteful number, since it uses less digits than its factorization.

78434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8533 (or 8525 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 78434976 is about 8856.3522965158. The cubic root of 78434976 is about 428.0586288218.

The spelling of 78434976 in words is "seventy-eight million, four hundred thirty-four thousand, nine hundred seventy-six".