78745680 has 240 divisors, whose sum is σ = 292481280. Its totient is φ = 18865152.

The previous prime is 78745661. The next prime is 78745691. The reversal of 78745680 is 8654787.

78745680 is a `hidden beast` number, since 7 + 87 + 4 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439831 + ... + 440009.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^78745680 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 78745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

78745680 is an abundant number, since it is smaller than the sum of its proper divisors (213735600).

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

78745680 is a wasteful number, since it uses less digits than its factorization.

78745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 78745680 is about 8873.8762668859. The cubic root of 78745680 is about 428.6231061494.

The spelling of 78745680 in words is "seventy-eight million, seven hundred forty-five thousand, six hundred eighty".