779126460 has 144 divisors (see below), whose sum is σ = 2597164416. Its totient is φ = 173916288.

The previous prime is 779126431. The next prime is 779126461. The reversal of 779126460 is 64621977.

779126460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (779126461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123339 + ... + 129501.

It is an arithmetic number, because the mean of its divisors is an integer number (18035864).

Almost surely, 2^779126460 is an apocalyptic number.

779126460 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 779126460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298582208).

779126460 is an abundant number, since it is smaller than the sum of its proper divisors (1818037956).

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

779126460 is a wasteful number, since it uses less digits than its factorization.

779126460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 779126460 is about 27912.8368318235. The cubic root of 779126460 is about 920.1726440337.

The spelling of 779126460 in words is "seven hundred seventy-nine million, one hundred twenty-six thousand, four hundred sixty".