78045 has 24 divisors (see below), whose sum is σ = 140448. Its totient is φ = 36960.

The previous prime is 78041. The next prime is 78049. The reversal of 78045 is 54087.

It is an interprime number because it is at equal distance from previous prime (78041) and next prime (78049).

It is not a de Polignac number, because 78045 - 2² = 78041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794 + ... + 1836.

It is an arithmetic number, because the mean of its divisors is an integer number (5852).

2⁷⁸⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

78045 is a deficient number, since it is larger than the sum of its proper divisors (62403).

78045 is a wasteful number, since it uses less digits than its factorization.

78045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 78045 is about 279.3653521824. The cubic root of 78045 is about 42.7348018887.

Multiplying 78045 by its sum of digits (24), we get a triangular number (1873080 = T₁₉₃₅).

The spelling of 78045 in words is "seventy-eight thousand, forty-five".