778872 has 64 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 230912.

The previous prime is 778871. The next prime is 778873. The reversal of 778872 is 278877.

It is an interprime number because it is at equal distance from previous prime (778871) and next prime (778873).

Its product of digits (43904) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 778872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778871) by changing a digit.

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, 9343 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁷⁷⁸⁸⁷² 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 778872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

778872 is an abundant number, since it is smaller than the sum of its proper divisors (1398408).

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

778872 is a wasteful number, since it uses less digits than its factorization.

778872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 43904, while the sum is 39.

The square root of 778872 is about 882.5372513384. The cubic root of 778872 is about 92.0072458061.

The spelling of 778872 in words is "seven hundred seventy-eight thousand, eight hundred seventy-two".