78180963 has 32 divisors (see below), whose sum is σ = 123156480. Its totient is φ = 43182720.

The previous prime is 78180929. The next prime is 78180997. The reversal of 78180963 is 36908187.

It is a Cunningham number, because it is equal to 8842²-1.

It is an interprime number because it is at equal distance from previous prime (78180929) and next prime (78180997).

It is not a de Polignac number, because 78180963 - 2⁶ = 78180899 is a prime.

It is a super-2 number, since 2×78180963² = 12224525951214738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78180463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185493 + ... + 185913.

It is an arithmetic number, because the mean of its divisors is an integer number (3848640).

Almost surely, 2^78180963 is an apocalyptic number.

78180963 is a deficient number, since it is larger than the sum of its proper divisors (44975517).

78180963 is a wasteful number, since it uses less digits than its factorization.

78180963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 78180963 is about 8841.9999434517. Note that the first 4 decimals coincide. The cubic root of 78180963 is about 427.5960373820.

The spelling of 78180963 in words is "seventy-eight million, one hundred eighty thousand, nine hundred sixty-three".