78538680 has 192 divisors, whose sum is σ = 288237600. Its totient is φ = 19008000.

The previous prime is 78538661. The next prime is 78538693. The reversal of 78538680 is 8683587.

It is a super-2 number, since 2×78538680² = 12336648512284800, which contains 22 as substring.

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, 130380 + ... + 130980.

Almost surely, 2^78538680 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 78538680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144118800).

78538680 is an abundant number, since it is smaller than the sum of its proper divisors (209698920).

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

78538680 is a wasteful number, since it uses less digits than its factorization.

78538680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 78538680 is about 8862.2051431909. The cubic root of 78538680 is about 428.2472004872.

The spelling of 78538680 in words is "seventy-eight million, five hundred thirty-eight thousand, six hundred eighty".