78408096 has 48 divisors (see below), whose sum is σ = 221657184. Its totient is φ = 24125184.

The previous prime is 78408091. The next prime is 78408103. The reversal of 78408096 is 69080487.

It is a happy number.

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

It is a super-2 number, since 2×78408096² = 12295659036690432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78408091) 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, 30166 + ... + 32661.

It is an arithmetic number, because the mean of its divisors is an integer number (4617858).

Almost surely, 2^78408096 is an apocalyptic number.

It is an amenable number.

78408096 is an abundant number, since it is smaller than the sum of its proper divisors (143249088).

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

78408096 is a wasteful number, since it uses less digits than its factorization.

78408096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62853 (or 62845 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 78408096 is about 8854.8346116684. The cubic root of 78408096 is about 428.0097240636.

The spelling of 78408096 in words is "seventy-eight million, four hundred eight thousand, ninety-six".