78188560 has 20 divisors (see below), whose sum is σ = 181788588. Its totient is φ = 31275392.

The previous prime is 78188557. The next prime is 78188567. The reversal of 78188560 is 6588187.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 62220544 = 3996^2 + 7888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×78188560² = 12226901829747200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78188567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 488599 + ... + 488758.

Almost surely, 2^78188560 is an apocalyptic number.

It is an amenable number.

78188560 is an abundant number, since it is smaller than the sum of its proper divisors (103600028).

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

78188560 is a wasteful number, since it uses less digits than its factorization.

78188560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977370 (or 977364 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The square root of 78188560 is about 8842.4295303949. The cubic root of 78188560 is about 427.6098870532.

The spelling of 78188560 in words is "seventy-eight million, one hundred eighty-eight thousand, five hundred sixty".