78180642 has 24 divisors (see below), whose sum is σ = 171141516. Its totient is φ = 25790976.

The previous prime is 78180629. The next prime is 78180643. The reversal of 78180642 is 24608187.

78180642 is a `hidden beast` number, since 7 + 8 + 1 + 8 + 0 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71723961 + 6456681 = 8469^2 + 2541^2 .

It is a super-2 number, since 2×78180642² = 12224425567064328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78180597 and 78180606.

It is not an unprimeable number, because it can be changed into a prime (78180643) 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 11 ways as a sum of consecutive naturals, for example, 20643 + ... + 24134.

Almost surely, 2^78180642 is an apocalyptic number.

78180642 is an abundant number, since it is smaller than the sum of its proper divisors (92960874).

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

78180642 is a wasteful number, since it uses less digits than its factorization.

78180642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44882 (or 44879 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78180642 is about 8841.9817914311. The cubic root of 78180642 is about 427.5954521649.

The spelling of 78180642 in words is "seventy-eight million, one hundred eighty thousand, six hundred forty-two".