78040 has 16 divisors (see below), whose sum is σ = 175680. Its totient is φ = 31200.

The previous prime is 78031. The next prime is 78041. The reversal of 78040 is 4087.

78040 = 65² + 66² + ... + 79².

It is a happy number.

78040 is nontrivially palindromic in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 77999 and 78017.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 936 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (10980).

2⁷⁸⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

78040 is an abundant number, since it is smaller than the sum of its proper divisors (97640).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87840).

78040 is a wasteful number, since it uses less digits than its factorization.

78040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 78040 is about 279.3564031842. The cubic root of 78040 is about 42.7338892589.

It can be divided in two parts, 780 and 40, that added together give a triangular number (820 = T₄₀).

The spelling of 78040 in words is "seventy-eight thousand, forty".