78019680 has 192 divisors, whose sum is σ = 264757248. Its totient is φ = 19261440.

The previous prime is 78019661. The next prime is 78019687. The reversal of 78019680 is 8691087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78019687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408385 + ... + 408575.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 2^78019680 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 78019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

78019680 is an abundant number, since it is smaller than the sum of its proper divisors (186737568).

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

78019680 is a wasteful number, since it uses less digits than its factorization.

78019680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 78019680 is about 8832.8749566605. The cubic root of 78019680 is about 427.3017993031.

The spelling of 78019680 in words is "seventy-eight million, nineteen thousand, six hundred eighty".