78031296 has 112 divisors (see below), whose sum is σ = 262209280. Its totient is φ = 22291200.

The previous prime is 78031273. The next prime is 78031297. The reversal of 78031296 is 69213087.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 78031296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78031297) 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 15 ways as a sum of consecutive naturals, for example, 8871 + ... + 15321.

Almost surely, 2^78031296 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 78031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131104640).

78031296 is an abundant number, since it is smaller than the sum of its proper divisors (184177984).

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

78031296 is a wasteful number, since it uses less digits than its factorization.

78031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 78031296 is about 8833.5324757426. The cubic root of 78031296 is about 427.3230045998.

The spelling of 78031296 in words is "seventy-eight million, thirty-one thousand, two hundred ninety-six".