78043680 has 288 divisors, whose sum is σ = 313709760. Its totient is φ = 17418240.

The previous prime is 78043663. The next prime is 78043687. The reversal of 78043680 is 8634087.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (78043687) 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 47 ways as a sum of consecutive naturals, for example, 205731 + ... + 206109.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^78043680 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 78043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

78043680 is an abundant number, since it is smaller than the sum of its proper divisors (235666080).

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

78043680 is a wasteful number, since it uses less digits than its factorization.

78043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78043680 is about 8834.2334132623. The cubic root of 78043680 is about 427.3456095820.

The spelling of 78043680 in words is "seventy-eight million, forty-three thousand, six hundred eighty".