780078 has 32 divisors (see below), whose sum is σ = 1715616. Its totient is φ = 235008.

The previous prime is 780061. The next prime is 780119. The reversal of 780078 is 870087.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

780078 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 5626 + ... + 5762.

It is an arithmetic number, because the mean of its divisors is an integer number (53613).

2⁷⁸⁰⁰⁷⁸ is an apocalyptic number.

780078 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 780078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857808).

780078 is an abundant number, since it is smaller than the sum of its proper divisors (935538).

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

780078 is a wasteful number, since it uses less digits than its factorization.

780078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 780078 is about 883.2202443332. The cubic root of 780078 is about 92.0547091109.

Subtracting 780078 from its reverse (870087), we obtain a palindrome (90009).

It can be divided in two parts, 7800 and 78, that multiplied together give a square (608400 = 780²).

The spelling of 780078 in words is "seven hundred eighty thousand, seventy-eight".