780948 has 48 divisors (see below), whose sum is σ = 2316160. Its totient is φ = 222912.

The previous prime is 780931. The next prime is 780953. The reversal of 780948 is 849087.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 780948.

It is an unprimeable number.

780948 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240 + ... + 1272.

2⁷⁸⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158080).

780948 is an abundant number, since it is smaller than the sum of its proper divisors (1535212).

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

780948 is a wasteful number, since it uses less digits than its factorization.

780948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 780948 is about 883.7126229720. The cubic root of 780948 is about 92.0889184430.

It can be divided in two parts, 780 and 948, that added together give a cube (1728 = 12³).

The spelling of 780948 in words is "seven hundred eighty thousand, nine hundred forty-eight".