78105027 has 64 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 36201600.

The previous prime is 78105011. The next prime is 78105031. The reversal of 78105027 is 72050187.

It is a happy number.

It is not a de Polignac number, because 78105027 - 2⁴ = 78105011 is a prime.

It is a super-2 number, since 2×78105027² = 12200790485341458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78104985 and 78105003.

It is not an unprimeable number, because it can be changed into a prime (78105007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92674 + ... + 93512.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2^78105027 is an apocalyptic number.

78105027 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

78105027 is a deficient number, since it is larger than the sum of its proper divisors (66401853).

78105027 is a wasteful number, since it uses less digits than its factorization.

78105027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 78105027 is about 8837.7048491110. The cubic root of 78105027 is about 427.4575533247.

The spelling of 78105027 in words is "seventy-eight million, one hundred five thousand, twenty-seven".