78117039 has 144 divisors (see below), whose sum is σ = 164436480. Its totient is φ = 34594560.

The previous prime is 78117031. The next prime is 78117043. The reversal of 78117039 is 93071187.

It is not a de Polignac number, because 78117039 - 2³ = 78117031 is a prime.

It is a super-2 number, since 2×78117039² = 12204543564255042, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78116994 and 78117012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78117031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2693677 + ... + 2693705.

It is an arithmetic number, because the mean of its divisors is an integer number (1141920).

Almost surely, 2^78117039 is an apocalyptic number.

78117039 is an abundant number, since it is smaller than the sum of its proper divisors (86319441).

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

78117039 is a wasteful number, since it uses less digits than its factorization.

78117039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 78117039 is about 8838.3844111919. The cubic root of 78117039 is about 427.4794655162.

The spelling of 78117039 in words is "seventy-eight million, one hundred seventeen thousand, thirty-nine".