780780 has 144 divisors (see below), whose sum is σ = 2951424. Its totient is φ = 149760.

The previous prime is 780733. The next prime is 780799. The reversal of 780780 is 87087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 60054 + ... + 60066.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2⁷⁸⁰⁷⁸⁰ is an apocalyptic number.

780780 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475712).

780780 is an abundant number, since it is smaller than the sum of its proper divisors (2170644).

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

780780 is a wasteful number, since it uses less digits than its factorization.

780780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

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

The square root of 780780 is about 883.6175643343. The cubic root of 780780 is about 92.0823144832.

It can be divided in two parts, 7807 and 80, that added together give a palindrome (7887).

The spelling of 780780 in words is "seven hundred eighty thousand, seven hundred eighty".